Publications

 

Research Papers

2022

  • Somya Malik, Rosihan M. Ali, and V. Ravichandran, Radius of Booth lemniscatel starlikeness of Janowski starlike functions, Bulletin of the Malaysian Mathematical Sciences Society,  Volume 45 (2022), pages 2715–2732.
  • R. Kanaga and V. Ravichandran, Starlikeness associated with crescent-shaped region, Analysis and Mathematical Physics, Volume 12 (2022), no. 6, Artice 132.
  • Adiba Naz,   Sushil Kumar and V. Ravichandran,  Coefficients of the inverse functions and radius estimates of certain starlike functions, Asian-European Journal of Mathematics (AEJM) , Volume 15 (2022), no. 05, Art. 2250089.
  • Subzar Beig and V. Ravichandran, Directional convexity of combinations of harmonic half-plane and strip mappings, Communications of the Korean Mathematical Society, Volume 37 (2022), no. 1, 125-136.
  • Shalu Yadav, Kanika Sharma, and V. Ravichandran,  Radius of starlikeness for some classes containing non-univalent functions, Asian-European Journal of Mathematics (AEJM), Volume 15 (2022) No. 1, 2250009.
  • R. Kanaga and V. Ravichandran, Radius of Limaçon starlikeness for Janowski starlike functions,  Asian-European Journal of Mathematics (AEJM), Vol. 15, No. 9 (2022) 2250164 (13 pages).
  • Ahmad Sulaiman Ahmad El-Faqeer, Maisarah Haji Mohd, V. Ravichandran, and Shamani Supramaniam, Radius of starlikeness   of functions defined by  ratios of  analytic functions, Applied Mathematics E-Notes, Volume 22 (2022), 516-528.   
  • Nisha Bohra, and V. Ravichandran, Coefficient estimates for some classes of bi-univalent analytic functions,  Art 6 in Mathematics, its Applications and History (S. G. Dani, editor), Narosa, 2022.
  • Subzar Beig and V. Ravichandran, Convolution properties of a harmonic function with n-starlike mappings,   Art 7 in Mathematics, its Applications and History (S. G. Dani, editor), Narosa, 2022.
  • V. Ravichandran and Sumit Nagpal, A Survey on Univalent Functions with Fixed Second Coefficient, Mathematics Newsletter, Ramanujan Mathematical Society, Vol. 33  (2022), no. 3, pp. 17-28.

 

2021

  • Ponalagusamy, R., Manchi, R. Biorheological Model on Pulsatile Flow of Blood (K–L Fluid) Through Flexible Stenotic Tapered Blood Vessels. Int. J. Appl. Comput. Math 7, 13 (2021).
  • Singh, S., Murugesan, K., Bernstein Polynomial Collocation Method for Acceleration Motion of a Vertically Falling Non-spherical Particle, Lecture Notes in Mechanical Engineering, 2021, pp. 673-683.
  • Adam Lecko, V. Ravichandran, and Asha Sebastian, Starlikeness of certain  non-univalent functions,  Analysis and Mathematical Physics, Volume 11 (2021), Article number: 163.
  • S. Madhumitha and V. Ravichandran, Radius of starlikeness of certain analytic functions, Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas,  Volume 115 (2021), Article number: 184.
  • Kanika Sharma, Nak Eun Cho, and  V. Ravichandran, Sufficient conditions for strong starlikeness, Bulletin of the Iranian Mathematical Society, Volume 47 (2021), no. 5, pages 1453–1475.
  • Prachi Gupta, Sumit Nagpal and V. Ravichandran, Inclusion relations and radius problems for a subclass of starlike functions,  Journal of the Korean Mathematical Society,  58 (2021), No. 5, pp. 1147–1180.
  • Ankur Raj, Sumit Nagpal and V. Ravichandran, On the product of planar harmonic mappings, Computational Methods and Function Theory, Volume 21 (2021), pages 427–452.
  • Rosihan M. Ali, Kanika Sharma and V. Ravichandran, Starlikeness of analytic functions with subordinate ratios, Journal of Mathematics, Volume 2021 (2021), Article ID 8373209.
  • Vibha Madaan, Ajay Kumar and V. Ravichandran, Estimates for initial coefficients of certain bi-univalent functions, Filomat, Volume 35 (2021), no. 6, 1993-2009.
  • Asha Sebastian and V. Ravichandran,  Radius  of starlikeness of certain analytic functions, Mathematica Slovaca, Volume 83 (2021), no. 1, pp. 83-104.
  • R. Kanaga and V. Ravichandran, Starlikeness for certain close-to-star functions, Hacettepe Journal of Mathematics and Statistics,  Volume 50 (2021), no. 2, pp. 414 – 432.
  • Om. P. Ahuja, Kanika Khatter and V. Ravichandran, Toeplitz determinants associated with  Ma-Minda classes of starlike and convex functions, Iranian Journal of Science and Technology, Transaction A, Science (ISTT), Volume 45 (2021) no.6, 2021-2027.
  • Prachi Gupta, Sumit Nagpal, and V. Ravichandran, Marx-Strohhäcker theorem for multivalent functions, Afrika Matematika, Volume 32 (2021), no. 7-8, 1421–1434.
  • O. P. Ahuja, K. Khatter, V. Ravichandran, Symmetric Toeplitz determinants associated with a linear combination of some geometric expressions, The Honam Mathematical Journal, Volume 43 (2021), no. 3, pages.465-481.
  • Sushil Kumar, Nisha Bohra, and V. Ravichandran, Applications of Briot-Bouquet differential subordination, Journal of Classical Analysis, Vol 18 (2021), no. 1, pages 17-28.
  • Swati Anand, Sushil Kumar, and V. Ravichandran, Differential subordinations for Janowski functions with positive real part, Studia Universitatis Babeş-Bolyai Mathematica, Volume 66 (2021) no. 3, pages 457-470.   
  • Jenifer, A. Sahaya, P. Saikrishnan, and Roland W. Lewis. "Unsteady MHD Mixed Convection Flow of Water over a Sphere‎ with Mass Transfer." Journal of Applied and Computational Mechanics 7, no. 2 (2021): 935-943.
  • Nayagam, V. Lakshmana Gomathi, and Jagadeeswari Murugan. "Hexagonal fuzzy approximation of fuzzy numbers and its applications in MCDM." Complex & Intelligent Systems (2021): 1-29.
  • Aarthika, K., V. Shanthi, and Higinio Ramos. "A finite-difference scheme for a coupled system of singularly perturbed time-dependent reaction–diffusion equations with discontinuous source terms." International Journal of Computer Mathematics 98, no. 1 (2021): 120-135


2020

  • Ponalagusamy R, Ramakrishna Manchi, Particle-fluid two phase modeling of electro-magneto hydrodynamic pulsatile flow of Jeffrey fluid in a constricted tube under periodic body acceleration, European Journal of Mechanics/B Fluids, Volume 81 (2020), 76-92.
  • V. Lakshmana Gomathi Nayagam, Jagadeeswari Murugan, K. Suriyapriya."Hexagonal fuzzy number inadvertences and its applications to MCDM and HFFLS based on complete ranking by score functions"Computational and Applied Mathematics, Volume 39, Year 2020
  • R Ponalagusamy, R Manchi, A study on two-layered (K.L-Newtonian) model of blood flow in an artery with six types of mild stenoses, Applied Mathematics and Computation, Volume 367 (2020), 124767.
  • Roy, Kamalika, R. Ponalagusamy, and P. V. S. N. Murthy. "The effects of double-diffusion and viscous dissipation on the oscillatory convection in a viscoelastic fluid saturated porous layer." Physics of Fluids 32, no. 9 (2020): 094108.
  • Roy, Ashis Kumar, Apu Kumar Saha, R. Ponalagusamy, and Sudip Debnath. "Mathematical model on magneto-hydrodynamic dispersion in a porous medium under the influence of bulk chemical reaction." Korea-Australia Rheology Journal 32, no. 4 (2020): 287-299.
  • Ponalagusamy, R., and Ramakrishna Manchi. "Mathematical modeling of electro-magnetohydrodynamic pulsatile flow of an elastico-viscous fluid through an inclined porous tapered arterial stenosis." Mathematics in Engineering, Science & Aerospace (MESA) 11, no. 1 (2020).
  • Sudhir Singh and K. Murugesan et.al, Dynamics of optical solitons and conservation laws of a new (2+1)- dimensional integrable nonlinear evolution equation in deep water oceanic waves, Modern Physics Letters B (2020), Vol. 34, No. 05, 2050068 -1-16.
  • Kumaran, V., Swarnalatha, R. Sharp bounds for the probability of union of n events when m number of binomial moments are known. Optim Eng 21, 241–271 (2020).
  • Adiba Naz, Sumit Nagpal, and V. Ravichandran, Exponential starlikeness and convexity of confluent hypergeometric, Lommel and Struve functions, Mediterranean Journal of Mathematics, Volume 17 (2020), no. 6, Art. 204, 22 pages.
  • See Keong Lee, Kanika Khatter, and V. Ravichandran, Radius of starlikeness for classes of analytic functions, Bulletin of the Malaysian Mathematical Sciences Society, Volume 43 (2020), No. 6 , 4469 - 4493.
  • Vibha Madaan, Ajay Kumar, and V. Ravichandran, Radii of starlikeness and convexity of some entire functions, Bulletin of the Malaysian Mathematical Sciences Society, Volume 43 (2020), No. 6 , 4335 - 4359.
  • Kanika Khatter, V. Ravichandran and S. Sivaprasad Kumar, Third Hankel determinant of starlike and convex functions, The Journal of Analysis, Volume 28 (2020), no. 1, pages 45-56.
  • Swati Anand, Sushil Kumar and V. Ravichandran, First-Order Differential Subordinations for Janowski Starlikeness, In: Deo N., Gupta V., Acu A., Agrawal P. (eds) Mathematical Analysis I: Approximation Theory. ICRAPAM 2018. Springer Proceedings in Mathematics & Statistics, vol 306. Springer, Singapore, 2020.
  • Viredra Kumar, Sushil Kumar and V. Ravichandran, Third Hankel determinant for certain classes of analytic functions, In: Deo N., Gupta V., Acu A., Agrawal P. (eds) Mathematical Analysis I: Approximation Theory. ICRAPAM 2018. Springer Proceedings in Mathematics & Statistics, vol 306. Springer, Singapore, 2020.
  • Tripathi, Jayati, B. Vasu, Ankita Dubey, Rama SR Gorla, P. V. S. N. Murthy, O. Anwar Bég, V. Ramachandra Prasad, and P.Saikrishnan. "A review on recent advancements in the hemodynamics of nano-drug delivery systems." Nanoscience and Technology: An International Journal 11, no. 1 (2020).
  • Revathi, G., Ponnaiah Saikrishnan, M. Revathy, and S. Jayanthi. "NUMERICAL STUDY OF DARCY FORCHHEIMER UNSTEADY MIXED CONVECTION FLOW OF NANOFLUID WITH AN EXPONENTIALLY DECREASING FREE-STREAM VELOCITY DISTRIBUTION." Computational Thermal Sciences: An International Journal 12, no. 4 (2020).
  • Nayagam, Velu Lakshmana Gomathi, and Jagadeeswari Murugan. "Triangular approximation of intuitionistic fuzzy numbers on multi-criteria decision making problem." Soft Computing (2020): 1-28
  • Sadiquali, A., P. Arul Paul Sudhahar, and V. Lakshmana Gomathi Nayagam. "Connected monophonic domination in graphs." Discrete Mathematics, Algorithms and Applications (2020): 2150029.
  • Aarthika, K., and V. Shanthi. "Finite difference upwind schemes for system of two coupled parabolic type of convection-diffusion equation with non-smooth terms." Journal| MESA 11, no. 2 (2020): 269-282.
  • Aarthika, K., V. Shanthi, and Higinio Ramos. "A non-uniform difference scheme for solving singularly perturbed 1D-parabolic reaction–convection–diffusion systems with two small parameters and discontinuous source terms." Journal of Mathematical Chemistry 58, no. 3 (2020): 663-685.
  • Basha, Pathan Mahabub, and Vembu Shanthi. "A robust second order numerical method for a weakly coupled system of singularly perturbed reaction-diffusion problem with discontinuous source term." International Journal of Computing Science and Mathematics 11, no. 1 (2020): 63-80.


2019

  • R. Ponalagusamy and S. Priyadharshini, “A numerical model on pulsatile Flow of magnetic nanoparticles as drug carrier suspended in Herschel-Bulkley fluid through an arterial stenosis under external magnetic field and body force”, International Journal of Computer Mathematics, Volume 96 (2019) no. 9, 1763-1786.
  • R Ponalagusamy, R Manchi, A four-layered model for flow of non-Newtonian fluid in an artery with mild stenosis, Sadhana 44 (2019), 158.
  • R Padma, R Ponalagusamy, R Tamil Selvi, Mathematical modeling of electro hydrodynamic non-Newtonian fluid flow through tapered arterial stenosis with periodic body acceleration and applied magnetic field, Applied Mathematics and Computation, Volume 362, 1 December 2019, 124453.
  • Padma R, Ponalagusamy R, Tamil Selvi R, Corrigendum to “Mathematical modeling of electro hydrodynamic non-Newtonian fluid flow through tapered arterial stenosis with periodic body acceleration and applied magnetic field”, Applied Mathematics and Computation, Volume 362(2019), 124453.
  • Priyadharshini, S. and Ponalagusamy, R., A numerical study on unsteady flow of Herschel-Bulkley nanofluid through an inclined artery with body acceleration and magnetic field, International Journal of Applied and Computational Mathematics 5 (2019) Art. 6, 26pp.
  • R. Padma, R. Tamil Selvi and R. Ponalagusamy, “Effects of slip and magnetic field on pulsatile flow of Jeffrey fluid with magnetic nano particles in a stenosed artery”, The European Physical Journal Plus, 134(2019): 221(Pages 1-15).
  • R. Ponalagusamy and S. Priyadharshini, “Mathematical modelling for pulsatile flow of Casson fluid along with magnetic nanoparticles in a stenosed artery under external magnetic field and body acceleration”, Neural Computing and Applications, 31(2019), pp. 813-826.
  • R. Ponalagusamy and Ramakrishna Manchi, “Computational Model on Pulsatile Electro-Magneto Hydrodynamic Blood Flow in a Balloon Catheterized Arterial Stenosis”, Section-FM4, Paper ID 035, Proc. 64rd International Congress of ISTAM, 9-12 December, 2019, IIT Bhubaneswar, India.
  • Purusothaman, A., Murugesan, K., Chamkha, A.J., 3D modeling of natural convective heat transfer from a varying rectangular heat generating source, Journal of Thermal Analysis and Calorimetry, Volume 138 (2019), Issue 1, pp 597–608
  • Purusothaman, A., Chandra Guru Sekar, R., and Murugesan, K., Magnetic field and vibration effects on the onset of thermal convection in a grade fluid permeated anisotropic porous module, Thermal Science and Engineering Progress, Vol. 10, (May), 138-146, 2019.
  • Purusothaman, A., Baïri, A., and Murugesan, K., Thermal state of electronic assemblies equipped with an array of heaters and coolers (HACs) subjected to natural convection, Thermal Science and Engineering Progress, 11 (April), 317–324, 2019.
  • Vibha Madaan, Ajay Kumar, and V. Ravichandran, Lemniscate convexity of generalized Bessel functions, Studia Scientiarum Mathematicarum Hungarica, 56 (2019) no. 4, 404–419.
  • M. Vibha, Ajay Kumar and V. Ravichandran, Starlikeness associated with lemniscate of Bernoulli, Filomat, Volume 33 (2019), No. 7, pp. 1937-1955.
  • Subzar Beig and V. Ravichandran, Convolution and convex combination of harmonic mappings, Bulletin of the Iranian Mathematical Society, Volume 45 (2019), Issue 5, pp 1467–1486 .
  • Rosihan M. Ali, Naveen Kumar Jain and V. Ravichandran, Bohr radius for classes of analytic functions, Results in Mathematics, Volume 74 (2019), Issue 4, Article 179.
  • Rosihan M. Ali, Naveen Kumar Jain and V. Ravichandran, Bohr radius for classes of analytic functions, Results in Mathematics, Volume 74 (2019), Issue 4, Article 179.
  • Adiba Naz, Sumit Nagpal and V. Ravichandran, Starlikeness associated with the exponential function, Turkish Journal of Mathematics, Volume 43 (2019), 1353 – 1371 .
  • N. Bohra, Sushil Kumar, V. Ravichandran, Some special differential subordination, Hacettepe Journal of Mathematics and Statistics, Volume 48 (2019) Issue 4, Pages 1017 - 1034.
  • Nak Eun Cho, Virendra Kumar, S. Sivaprasad Kumar, and V. Ravichandran, Radius problems for starlike functions associated with sine function, Bulletin of the Iranian Mathematical Society, Volume 45 (2019), Issue 1, pp. 213–232.
  • Nak Eun Cho, Sushil Kumar, Virendra Kumar, and V. Ravichandran, Convolution and radius properties of certain analytic functions associated with the tilted Carathéodory functions, Mathematical Communications, 24(2019), 165-179.
  • Virendra Kumar, Nak Eun Cho, V. Ravichandran, H. M. Srivastava, Sharp coefficient bounds for starlike functions associated with the Bell Numbers, Mathematica Slovaca, Volume 69, Issue 5, Pages 1053–1064.
  • Kanika Khatter, V. Ravichandran and S. Sivaprasad Kumar, Starlike functions associated with exponential function and the Lemniscate of Bernoulli, Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas, Volume 113 (2019), Issue 1, pp 233–253.
  • Nak Eun Cho, Virendra Kumar, and V. Ravichandran, Arc length for the Janowski classes, Annals of the Alexandru Ioan Cuza University - Mathematics, Vol 65 (2019), No. 1, pp. 91-105.
  • Nak Eun Cho, Sushil Kumar, Virendra Kumar, V. Ravichandran, H. M. Srivastava, Starlike functions related to the Bell numbers, Symmetry, Volume 11 (2019), no. 2, Article 219.
  • Nak Eun Cho, Virendra Kumar, and V. Ravichandran, A survey on coefficient estimates for Caratheodory functions, Applied Mathematics E-Notes, 19 (2019), 370-396.
  • Om. P. Ahuja, Asena Çetinkaya, and V. Ravichandran, Harmonic univalent functions defined by post quantum calculus operators, Acta Universitatis Sapientiae, Mathematica, Volume 11 (2019), no. 1, 5-17.
  • O. P. Ahuja, Subzar Beig and V. Ravichandran, Univalent harmonic functions generated by Ruscheweyh derivatives of analytic functions, Acta Universitatis Apulensis No. 29 (2019), 13-24.
  • Chandru, M.; Prabha, T.; Das, P.; Shanthi, V. A numerical method for solving boundary and interior layers dominated parabolic problems with discontinuous convection coefficient and source terms. Differ. Equ. Dyn. Syst. 27 (2019), no. 1-3, 91–112.
  • Saha, Jitraj and Das, Nilima and Kumar, Jitendra and B"uck, Andreas, Numerical solutions for multidimensional fragmentation problems using finite volume methods, p. 79--103. 2019
  • Rahimi, A., Kasaeipoor, A., Malekshah,E.H., Rashidi, M., and Purusothaman, A., Lattice Boltzmann simulation of 3D natural convection in a cuboid filled with KKL-model predicted nanofluid using Dual-MRT model, International Journal of Numerical Methods for Heat and Fluid Flow, Vol. 29, (1), 365-387, 2019.
  • Purusothaman, A., and Malekshah, E.H., Lattice Boltzmann modeling of MHD free convection of nanofluid in a V-shaped microelectronic module, Thermal Science and Engineering Progress, Vol. 10, (May), 186-197, 2019.
  • Baïri, A., Suresh, N., Gayathri, P., Nagarajan, N., and Purusothaman, A., Quantification of free convection within a hemispherical annulus through a porous medium saturated by Water-Copper nanofluid, International Journal of Numerical Methods for Heat and Fluid Flow, Vol. 29, (3), 1153-1166, 2019.


2018

  • R. Ponalagusamy and Ramakrishna Manchi, “A study on pulsatile flow of blood through stenosed blood vessels”, Section-FM2, Paper ID 040, Proc. 63rd International Congress of ISTAM, 20-23 December, 2018, Dayananda Sagar University, Bangalore, India.
  • R. Ponalagusamy and S. Priyadharshini, “A numerical model on pulsatile Flow of magnetic nanoparticles as drug carrier suspended in Herschel-Bulkley fluid through an arterial stenosis under external magnetic field and body force”, International Journal of Computer Mathematics, October, 2018(Online).
  • Priyadharshini, S. and Ponalagusamy, R., An unsteady flow of magnetic nanoparticles as drug carrier suspended in micropolar fluid through a porous tapered arterial stenosis under non-uniform magnetic field and periodic body acceleration, p. 4259--4280. 2018
  • Ponalagusamy, R., Mathematical analysis of flow of non-Newtonian fluid due to metachronal beating of cilia in a tube and its physiological applications, p. 545--561. 2018
  • Ponalagusamy, R. and Priyadharshini, S., Pulsatile MHD flow of a Casson fluid through a porous bifurcated arterial stenosis under periodic body acceleration, p. 325--343. 2018
  • Ponalagusamy, R. and Priyadharshini, S., Numerical investigation on two-fluid model (micropolar-Newtonian) for pulsatile flow of blood in a tapered arterial stenosis with radially variable magnetic field and core fluid viscosity, p. 719--743. 2018
  • Chandra Guru Sekar, R. and Murugesan, K., Single term Walsh series method for the system of nonlinear delay Volterra integro-differential equations describing biological species living together, p. Art. 42, 13. 2018
  • Sathiamoorthy, G. and Janakiraman, T. N., Graceful labeling of generalized theta graphs, National Academy Science Letters, p. 121--122. 2018
  • Swarnalatha, R. and Kumaran, V., Sharp probability bounds for the binomial moment problem with symmetry, p. 37--43. 2018
  • Sushil Kumar and V. Ravichandran, Subordinations for functions with positive real part, Complex Analysis and Operator Theory, Volume 12 (2018), Issue 5, pp 1179–1191.
  • N. Bohra, V. Ravichandran, Radii problems for normalized Bessel functions of first kind, Computational Methods and Function Theory, Volume 18 (2018), Issue 1, pp 99–123.
  • Subzar Beig and V. Ravichandran, Directional convexity of harmonic mappings, Bulletin of the Malaysian Mathematical Sciences Society, Volume 41 (2018), 1045–1060.
  • Nak Eun Cho, Sushil Kumar, Virendra Kumar, and V. Ravichandran, Differential subordination and radius estimates for starlike functions associated with Booth lemniscate, Turkish Journal of Mathematics, Volume 42 (2018), 1380-1399.
  • Nak Eun Cho, Virendra Kumar, and V. Ravichandran, Sharp bounds on the higher order Schwarzian derivatives for Janowski classes, Symmetry, Volume 10 (2018), no. 8, Article 348 .
  • Shweta Gandhi, Sushil Kumar and V. Ravichandran, First order differential subordinations for Caratheodory functions, Kyungpook Mathematical Journal, Volume 58 (2018), no. 2, 257-270.
  • O. P. Ahuja, Sushil Kumar and V. Ravichandran, First order differential subordination for functions with positive real part, Studia Universitatis Babeş-Bolyai Mathematica, Volume 63 (2018), no. 3 , 303-311.
  • Saha, Jitraj and Kumar, Jitendra and Heinrich, Stefan, On the approximate solutions of fragmentation equations, p. 20170541, 20. 2018
  • Purusothaman, A., Investigation of natural convection heat transfer performance of the QFN-PCB electronic module by using nanofluid for power electronics cooling applications, Advanced Powder Technology, Vol. 29, (4), 996-1004, 2018.


2017

  • R. Ponalagusamy, “Corrigendum to A biomechanical approach to study the effect of body acceleration and slip velocity through stenotic artery [Applied Mathematics and Computation, 261(2015) 148-155”, Applied Mathematics and Computation, 301(2017), pp. 115-116.
  • R. Ponalagusamy, “Erratum to: Suspension model for blood flow through a catheterized arterial stenosis with peripheral layer of plasma free from cells”, The European Physical Journal Plus, 132(2017):148.
  • R. Ponalagusamy, “Two-Fluid Model for Blood Flow through a Tapered Arterial Stenosis: Effect of Non-zero Couple Stress Boundary Condition at the Interface”, Int. J. Appl. Comput. Math., 3(2017), pp.807-824.
  • R. Ponalagusamy and S. Priyadharshini, “Nonlinear Model on Pulsatile Flow of Blood through a Porous Bifurcated Arterial Stenosis in the presence of Magnetic Field and Periodic Body Acceleration”, Computer Methods and Programs in Biomedicine, 142(2017), pp. 31-41.
  • R. Ponalagusamy, “A Two-Layered Suspension(Particle-Fluid) Model for Non-Newtonian Fluid Flow in a Catheterized Arterial Stenosis with Slip Condition at the wall of Stenosed Artery”, Korea-Australia Rheology Journal, 29(2017), pp. 87-100.
  • R. Ponalagusamy and S. Priyadharshini, “Numerical Modelling on Pulsatile Flow of Casson Nanofluid through an inclined artery with stenosis and tapering under the influence of magnetic field and periodic body acceleration.”, Korea-Australia Rheology Journal, 29(2017), pp. 303-316.
  • S. Priyadharshini and R. Ponalagusamy, “Computational Model on Pulsatile flow of Blood Through a Tapered Arterial Stenosis with Radially Variable Viscosity and Magnetic Field”, Sadhana, 42(2017), pp. 1901-1913.
  • R. Ponalagusamy and S. Priyadharshini, “Couple Stress fluid model for pulsatile flow of blood in a porous tapered arterial stenosis under magnetic field and periodic body acceleration”, Journal of Mechanics in Medicine and Biology, 17(8)(2017) 1750109 (29 ages), DOI: 10.1142/S0219519417501093.
  • M. Chandru, R. Ponalagusamy and P.J.A. Alphonse, “A New Fifth-Order Weighted Runge-Kutta Algorithm based on Heronian Mean for Initial Value Problems in Ordinary Differential Equations”, Journal of Applied Mathematics and Informatics, 35(No.1-2)(2017), pp. 191-204.
  • Chandra Guru Sekar, R. and Murugesan, K., Single-term Walsh series approach for the system of linear and non-linear Volterra integral equations of first kind, p. 2639--2653. 2017
  • Chandra Guru Sekar, R. and Murugesan, K., Numerical solutions of delay Volterra integral equations using single-term Walsh series approach, p. 2409--2421. 2017
  • Chandra Guru Sekar, R. and Murugesan, K., STWS approach for Hammerstein system of nonlinear Volterra integral equations of the second kind, p. 1867--1878. 2017
  • Chandra Guru Sekar, R. and Balakumar, V. and Murugesan, K., Method of solving linear system of Volterra integro-differential equations using the single term Walsh series, p. 549--559. 2017
  • Kumaran, V. and Swarnalatha, R., Bounds for the probability of union of events following monotonic distribution, p. 98--119. 2017
  • Samyuktha, N. and Ravindran, R. and Ganapathirao, M., Effects of the chemical reaction and heat generation or absorption on a mixed convection boundary layer flow over a vertical stretching sheet with nonuniform slot mass transfer, p. 116--128. 2017
  • Pathan, Mahabub Basha and Vembu, Shanthi, A parameter-uniform second order numerical method for a weakly coupled system of singularly perturbed convection-diffusion equations with discontinuous convection coefficients and source terms, p. 1027--1053. 2017
  • Lakshmana Gomathi Nayagam, Velu and Jeevaraj, Selvaraj and Dhanasekaran, Ponnialagan, A new ranking principle for ordering trapezoidal intuitionistic fuzzy numbers, p. Art. ID 3049041, 24. 2017


2016

  • R. Ponalagusamy, “Suspension model for blood flow through a catheterized arterial stenosis with peripheral layer of plasma free from cells”, The European Physical Journal Plus, 131(2016):185(1-17 pages).
  • R. Ponalagusamy, “Particulate Suspension Jeffrey Fluid flow in a Stenosed artery with a Particle-free Plasma Layer near the Wall”, Korea-Australia Rheology Journal, 28(2016), pp. 217-227.
  • Muruganandam, S. and Nallaswamy, R. and Razak, K. Abdul, Study on traveling salesman problem as an assignment problem in fuzzy environment, p. 17--24. 2016
  • Chandra Guru Sekar, R. and Murugesan, K., System of linear second order Volterra integro-differential equations using single term Walsh series technique, p. 484--492. 2016
  • Singh, Kunwar and Pandu Rangan, C. and Banerjee, A. K., Lattice-based identity-based resplittable threshold public key encryption scheme, p. 289--307. 2016
  • Lakshmana Gomathi Nayagam, V. and Jeevaraj, S. and Sivaraman, Geetha, Total ordering for intuitionistic fuzzy numbers, p. 54--66. 2016
  • Lakshmana Gomathi Nayagam, V. and Jeevaraj, S. and Sivaraman, Geetha, Complete ranking of intuitionistic fuzzy numbers, p. 237--254. 2016
  • A. Purusothaman, N. Nithyadevi, H.F. Oztop, V. Divya, K. Al-Salem, Three dimensional numerical analysis of natural convection cooling with an array of discrete heaters embedded in nanofluid filled enclosure, Advanced Powder Technology, Vol. 27, (1), 268-280, 2016.
  • A. Purusothaman, V. Divya, N. Nithyadevi, H.F. Oztop, An analysis on free convection cooling of a 3x3 heater array in rectangular enclosure using Cu-EG-water nanofluid, Journal of Applied Fluid Mechanics, Vol. 9, (6), 3147-3157, 2016.


2015

  • R. Ponalagusamy and R. Tamil Selvi, “Influence of Magnetic Field and Heat Transfer on Two-Phase Fluid Model for Oscillatory Blood Flow in an Arterial Stenosis”, Meccanica, 50(2015), pp. 927-943.
  • S. Priyadharshini and R. Ponalagusamy, “Biorheological model on Flow of Herschel-Bulkley Fluid Through a Tapered Arterial Stenosis with Dilatation”, Applied Bionics and Biomechanics, Volume 2015(2015), Article ID 406195, 12 pages.
  • D. Jeyasimman, K. Sivaprasad, S. Sivasankaran, R. Ponalagusamy, R. Narayanasamy and Vijayakumar Iyer, “Microstructural Observation, Consolidation and Mechanical Behaviour of AA 6061 Nanocomposites Reinforced by - AI2O3 Nanoparticles”, Advanced Powder Technol., 26(2015), pp. 139-148
  • D. Jeyasimman, R. Narayanasamy and R. Ponalagusamy,”Role of Hybrid Reinforcement on Microstructural Observation, Characterization and Consolidation Behavior of AA 6061 Nanocomposite”, Advanced Powder Technol., 26(2015), pp. 1171-1182.
  • R. Ponalagusamy and K. Ponnammal, “A Parallel Fourth Order Rosenbrock Method: Construction, Analysis and Numerical Comparison, Int. J. Appl. Comput. Math, 1(2015), pp. 45–68.
  • Ponalagusamy, R. and Ponnammal, K., A parallel fourth order Rosenbrock method: construction, analysis and numerical comparison, p. 45--68. 2015
  • Ponalagusamy, R. and Tamil Selvi, R., Influence of magnetic field and heat transfer on two-phase fluid model for oscillatory blood flow in an arterial stenosis, p. 927--943. 2015
  • Balakumar, V. and Murugesan, K., Numerical solution of Volterra integral-algebraic equations using block pulse functions, p. 165--170. 2015
  • Ravindran, R. and Samyuktha, N., Unsteady mixed convection flow over stretching sheet in presence of chemical reaction and heat generation or absorption with non-uniform slot suction or injection, p. 1253--1272. 2015
  • Lakshmana Gomathi Nayagam, V. and Sivaraman, Geetha, Induced topology on intuitionistic fuzzy singletons, p. 39--46. 2015
  • Lakshmana Gomathi Nayagam, V. and Sivaraman, Geetha, On nearly fuzzy Hausdorff spaces, p. 7--15. 2015


--2014

  • K. Velmanirajan, K. Anuradha, A. Syed Abu Thaheer, R. Ponalagusamy and R. Narayanasamy, “Statistical Evaluation of Forming Limit Diagram for Annealed Al 1350 Alloy Sheets Using First Order Reliability Method” , Applied Mathematical Modelling, 38 (No.1)(2014)145-167.
  • D. Jeyasimman, R. Ponalagusamy, R. Narayanasamy, R.S. Kambali and Vijayakumar Iyer, “A Comparative Study of Nano-size Reinforcement on Peak Broadening Analysis of Al 6061 Alloy Nanocomposite”, International Conference on Powder Metallurgy 2014(PM’14), Chennai, January 23-25, 2014, pp. 15-21.
  • D. Jeyasimman, R. Narayanasamy, R. Ponalagusamy, V. Anandakrishnan and M. Kamaraj, “The Effects of Various Reinforcements on Dry Sliding Wear Bbehaviour of AA 6061 Nanocomposites” Materials & Design, 64(2014)783-793.
  • Geetha Sivaraman, V. Lakshmana Gomathi Nayagam and R. Ponalagusamy, “A Complete Ranking Of Incomplete Interval Information”, Expert Systems with Applications, 41(No.4) (2014)1947-1954.
  • Balakumar, V. and Murugesan, K., Single-term Walsh series method for systems of linear Volterra integral equations of the second kind, p. 371--376. 2014
  • Ganapathirao, M. and Revathi, G. and Ravindran, R., Unsteady mixed convection boundary layer flow over a vertical cone with non-uniform slot suction (injection), p. 673--686. 2014
  • Ponalagusamy, R. and Tamil Selvi, R., Blood flow in stenosed arteries with radially variable viscosity, peripheral plasma layer thickness and magnetic field, p. 2427--2438. 2013
  • Ravindran, R. and Ganapathirao, M., Non-uniform slot suction/injection into mixed convection boundary layer flow over vertical cone, p. 1327--1338. 2013
  • Janakiraman, T. N. and Sathiamoorthy, G., Graceful labeling of different classes of lobsters connected in a path, p. 3989--3994. 2013
  • Revathi, G. and Saikrishnan, P. and Chamkha, A., Non-similar solution for unsteady water boundary layer flows over a sphere with non-uniform mass transfer, p. 1104--1116. 2013
  • Sathiamoorthy, G. and Janakiraman, T. N. and Raajan, N. R. and Sairam, N., Graceful labeling of mobile nodes in a wireless network, p. 257--263. 2012
  • Banerjee, A. K. and Kumar, A. Vanav and Kumaran, V., Unsteady MHD flow past a stretching sheet due to a heat source/sink, Dynamical systems and methodsSpringer, New York. p. 291--299. 2012
  • Ponalagusamy, R., Mathematical analysis on effect of non-Newtonian behavior of blood on optimal geometry of microvascular bifurcation system, p. 2861--2874. 2012
  • Ponalagusamy, R. and Tamil Selvi, R. and Banerjee, A. K., Mathematical model of pulsatile flow of non-Newtonian fluid in tubes of varying cross-sections and its implications to blood flow, p. 1681--1698. 2012
  • Balakumar, V. and Murugesan, K., A numerical method for a class of linear fractional differential equations, Mathematical modelling and scientific computationSpringer, Heidelberg. p. 360--366. 2012
  • Merkin, John H. and Kumaran, V., The unsteady heat transfer due to a heat source in an MHD stretching sheet flow, p. 1837--1847. 2012
  • Ponalagusamy, R. and Tamil Selvi, R., A study on two-layered model (Casson-Newtonian) for blood flow through an arterial stenosis: axially variable slip velocity at the wall, p. 2308--2321. 2011
  • Kumaran, V. and Kumar, A. Vanav and Babu, J. Sarat Chandra, Impulsive boundary layer flow past a permeable quadratically stretching sheet, Nonlinear science and complexitySpringer, Dordrecht. p. 191--198. 2011
  • Venkateshwari, G. and Lakshmana Gomathi Nayagam, V., Strong intuitionistic fuzzy topological groups, p. 117--130. 2011
  • Andersson, H. I. and Kumaran, V., Comment on ``Unsteady flow of a second grade fluid film over an unsteady stretching sheet'' [Math. Comput. Modelling 48 (2008) 518--526 [MR2431482], p. 1706--1707. 2010
  • Merkin, J. H. and Kumaran, V., The unsteady MHD boundary-layer flow on a shrinking sheet, p. 357--363. 2010
  • Magyari, E. and Kumaran, V., Generalized Crane flows of micropolar fluids, p. 3237--3240. 2010
  • Muruganandam, S. and Nallaswamy, R. and Razak, K. Abdul, A multi-objective fuzzy assignment problem, p. 145--155. 2009
  • Murugesh, V. and Murugesan, K., RK-Butcher algorithms for singular system-based electronic circuit, p. 523--536. 2009
  • Kumaran, V. and Banerjee, A. K. and Vanav Kumar, A. and Vajravelu, K., MHD flow past a stretching permeable sheet, p. 26--32. 2009
  • Roy, S. and Saikrishnan, P. and Ravindran, R., Role of non-uniform slot injection (suction) model on the separation of a laminar boundary layer flow, p. 45--52. 2009
  • Subramanian, N. and Nallaswamy, R. and Saivaraju, N., The Orlicz space of entire sequence. II, p. 125--130. 2008
  • Ponalagusamy, R. and Senthilkumar, S., Investigation on raster CNN simulation by numerical integration algorithms, p. 35--48. 2008
  • Janakiraman, T. N. and Bhanumathi, M. and Muthammai, S., Self-centered super graph of a graph and center number of a graph, p. 271--290. 2008
  • Nayagam, V. L. G. and Gauld, D. and Venkateshwari, G. and Sivaraman, G., Strong fuzzy topological groups, p. 187--195. 2008
  • Nayagam, V. Lakshmana Gomathi and Sivaraman, Geetha, Induced topology on fuzzy singletons, p. 189--198. 2008
  • Janakiraman, T. N. and Muthammai, S. and Bhanumathi, M., On splitting graphs, p. 211--221. 2007
  • Lakshmana Gomathi Nayagam, V. and Sivaraman, Geetha, Semi-Hausdorff fuzzy filters, p. Art. ID 92423, 10. 2007
  • Sivaraman, Geetha and Lakshmana Gomathi Nayagam, V., Nearly fuzzy regular spaces, p. 797--810. 2007
  • Subramanian, N. and Nallaswamy, R. and Saivaraju, N., Characterization of entire sequences via double Orlicz space, p. Art. ID 59681, 10. 2007
  • Duan, Huo-Yuan and Lin, Ping and Saikrishnan, P. and Tan, Roger C. E., A least-squares finite element method for the magnetostatic problem in a multiply connected Lipschitz domain, p. 2537--2563. 2007
  • Duan, Huo-Yuan and Lin, Ping and Saikrishnan, P. and Tan, Roger C. E., $L^2$-projected least-squares finite element methods for the Stokes equations, p. 732--752. 2006
  • Subramanian, N. and Nallaswamy, R. and Saivaraju, N., The vector valued Orlicz space of entire sequence, p. 211--223. 2006
  • Gopal, Devarajan and Murugesh, V. and Murugesan, K., Numerical solution of second-order robot arm control problem using Runge-Kutta-Butcher algorithm, p. 345--356. 2006
  • Evans, David J. and Murugesan, K. and Sekar, S. and Kim, Hyun-Min, Non-linear singular systems using RK-Butcher algorithms, p. 131--142. 2006
  • Janakiraman, T. N. and Muthammai, S. and Bhanumathi, M., Domination numbers on the complement of the Boolean function graph of a graph, p. 247--263. 2005
  • Janakiraman, T. N. and Muthammai, S. and Bhanumathi, M., Global domination and neighborhood numbers in Boolean function graph of a graph, p. 231--246. 2005
  • Sastry, V. N. and Janakiraman, T. N. and Ismail Mohideen, S., New polynomial time algorithms to compute a set of Pareto optimal paths for multi-objective shortest path problems, p. 289--300. 2005
  • Janakiraman, T. N. and Muthammai, S. and Bhanumathi, M., Domination numbers on the Boolean function graph of a graph, p. 135--151. 2005
  • Janakiraman, T. N. and Muthammai, S. and Bhanumathi, M., On the Boolean function graph of a graph and on its complement, p. 113--134. 2005
  • Murugesan, K. and Sekar, S. and Murugesh, V. and Evans, David J., Numerical strategies for the system of first-order IVPs using the RK-Butcher algorithm, p. 1379--1387. 2005
  • Park, J. Y. and Murugesan, K. and Evans, D. J. and Sekar, S. and Murugesh, V., Observer design of singular systems (transistor circuits) using the RK-Butcher algorithms, p. 111--123. 2005
  • Park, J. Y. and Evans, David J. and Murugesan, K. and Sekar, S., Optimal control of time-varying singular systems using the RK-Butcher algorithm, p. 617--627. 2005
  • Ismail Mohideen, S. and Janakiraman, T. N. and Sastry, V. N., Maximum possible number of Pareto optimum paths in a multi objective shortest path problem, p. 181--185. 2004
  • Park, J. Y. and Evans, David J. and Murugesan, K. and Sekar, S. and Murugesh, V., Optimal control of singular systems using the RK-Butcher algorithm, p. 239--249. 2004
  • Janakiraman, T. N. and Bhanumathi, M. and Muthammai, S., Complement glue graph of a graph, Mathematical and computational modelsAllied Publ., New Delhi. p. 355--360. 2003
  • Janakiraman, T. N. and Muthammai, S. and Bhanumathi, M., Split, nonsplit domination numbers of the intermediate graph $I_{G,L(G),NINC$}, Mathematical and computational modelsAllied Publ., New Delhi. p. 336--341. 2003
  • Sastry, V. N. and Janakiraman, T. N. and Mohideen, S. Ismail, New algorithms for multi objective shortest path problem, p. 278--298. 2003
  • Sekar, S. and Murugesh, V. and Murugesan, K., The RK-Butcher algorithm approach to stiff systems of higher dimension, Mathematical and computational modelsAllied Publ., New Delhi. p. 233--240. 2003
  • Murugesan, K. and Dhayabaran, D. Paul and Amirtharaj, E. C. Henry and Evans, David J., Numerical strategy for the system of second order IVPs using RK method based on centroidal mean, p. 233--241. 2003
  • Murugesan, K. and Dhayabaran, D. Paul and Amirtharaj, E. C. Henry and Evans, David J., A fourth order embedded Runge-Kutta ${rm RKACeM(4,4)$} method based on arithmetic and centroidal means with error control, p. 247--269. 2002
  • Ramakrishnan, P. V. and Lakshmana Gomathi Nayagam, V., Fuzzily compact space, p. 615--625. 2002
  • Ramakrishnan, P. V. and Lakshmana Gomathi Nayagam, V., Hausdorff interval valued fuzzy filters, p. 137--148. 2002
  • Murugesan, K. and Dhayabaran, D. Paul and Amirtharaj, E. C. Henry and Evans, David J., A comparison of extended Runge-Kutta formulae based on variety of means to solve system of IVPs, p. 225--252. 2001
  • Murugesan, K. and Dhayabaran, D. Paul and Evans, David J., Analysis of non-linear singular system from fluid dynamics using extended Runge-Kutta methods, p. 239--266. 2000
  • Ramkrishnan, P. V. and Lakshmana Gomathi Nayagam, V., Semi nearly fuzzy $T_2$ spaces, p. 3--12. 2000
  • Ramakrishnan, P. V. and Lakshmana Gomathi Nayagam, V., Semi nearly fuzzy $T_2$ spaces, p. 241--251. 2000
  • Ramakrishnan, P. V. and Lakshmana Gomathi Nayagam, V., Nearly fuzzy Hausdorff spaces, p. 695--711. 2000
  • Murugesan, K. and Dhayabaran, D. Paul and Evans, David J., Analysis of second order multivariable linear system using single term Walsh series technique and Runge Kutta method, p. 367--374. 1999
  • Murugesan, K. and Dhayabaran, D. Paul and Evans, David J., Analysis of different second order systems via Runge-Kutta method, p. 477--493. 1999
  • Janakiraman, T. N., On special classes of self-centred graphs, p. 411--414. 1994
  • Janakiraman, T. N., On self-centered graphs, p. 83--92. 1992
  • Phat, V. N. and Murugesan, K., A note on constrained controllability of linear descriptor systems, p. 77--81. 1992
  • Janakiraman, T. N., On pseudogeodetic blocks, Proceedings of the Symposium on Graph Theory and Combinatorics (Cochin, 1991)Centre Math. Sci., Trivandrum. p. 19--24. 1991

Books/Chapters Published:

  • Atul Kumar Razdan and V. Ravichandran, Fundamentals of Analysis with Applications, Springer, Singapore (2022).

  • Atul Kumar Razdan and V. Ravichandran, Fundamentals of Partial Differential Equations with Applications, Springer, Singapore  (2022)

  • Dr. R. Ponalagusamy (Co-Author), Theory of Engineering Plasticity, Ahuja Book Company, New Delhi, pp. 1-145, 2000.

  • Dr. R. Ponalagusamy, “Biological Study on Pulsatile Flow of Herschel-Bulkley Fluid in Tapered Blood Vessels”, in: Quocnam Tam Hamid Arbnia (Eds.), Emerging Trends in Computational Biology, Bioinformatics, and Systems Biology-Algorithms and Software Tools (ISBN: 978-0-12- 802508-6), Elsevier Publishers,Boston, USA, 2015, pp. 39-51.