The following are the research scholars in the department. For more information, visit Research Scholars Fourm.

January 2021

  • Farel William Viret Kharchandy
  • Priyanka N.C.


June 2020

  • Arunachala Prasath C
  • Ajay Singh Rathore
  • Tamizhazhagan S
  • Priya G. Krishnan
  • Prakrati Kushwah
  • Sangeetha J


January 2020

  • Arijit Das
  • Ram Shiromani
  • Y. Sudha
  • Bharanidaran R
  • Poornima P


July 2019


  • Madhumitha S.
  • Sahaya Jenifer A.
  • Shalu Yadav
  • Gayathri P.
  • Somya


January 2019


  • Divyadevi T
  • Kanaga R
  • Sangeetha K V


July 2018


  • Asha Sebastian
  • Suriyapriya K
  • Praveen Kumar R
  • Murugan D




  •  K.Aarthika    
  • I. Anushiya
  • Ramakrishna Manchi
  • Sudhir Singh
  • Vishwa Prakash Jha



Past Ph.D. Students:


SI. No.


Employment details

(Name of Company)

Title of the Thesis/Date of VIVA/Year of completion


Dr. P.J.A. Alphonse

Professor, CA Department, NIT, Trichy

On convexity and Domination in graphs.

(This work has been sponsored by DST Project No. DST/Ms/096/98 dated 28.09.1999.(Sole Guide)

Supervisor: Dr.T.N.Janakiraman.


Dr.D. Paul Dhayabaran

principal, Bishop Heber College, Trichy

A study on Second Order Singular Systems using Extended RK Methods and STWS Technique.

Supervisor: Dr.K.Murugesan

Year of Completion:2001


Dr.E.C.Henry Amirtharaj

Controller of Examination, Bishop Heber College, Trichy

Numerical Strategies for the System of IVPs using extended fourth order RK methods based on a Variety of Means.

Supervisor: Dr.K.Murugesan

Year of Completion:2002


Dr.M.M.D. Boominathan

Retired Principal of Bishop Heber College, Trichy

On some regular structures in graphs.

Supervisor: Dr.T.N.Janakiraman

Year of Completion:2002


Dr. G. Prabhakaran

Retired Principal of Ramachandra Engineering College, Chennai.

Clustering in Cellular Manufacturing Systems.

Supervisor: Dr.T.N.Janakiraman

Year of Completion:2002


Dr. K. R. Subramanian

Professor (Retired)

A Study of Theoretical investigation on Sheet Metal Forming and Upsetting of Powder Metallurgy performs.

Supervisor: Dr.R.Ponalagusamy

Year of Completion:2003


Dr. Ismail Mohideen

Principal of Jamal Mohamed College, Trichy

On multi-objective shortest paths in graphs.

Supervisor: Dr.T.N.Janakiraman.

Year of Completion:2004


Dr. P. Srinivasan

Associate Professor, Associate Dean, Department of Mechanical Engineering, BITS, Pilani

Some Investigations on Design, Manufacture and Testing Various Extrusion Dies.

Supervisor: Dr.R.Ponalagusamy

Year of Completion:2004


Dr.M. Bhanumathi

Principal of Arts and Science College, Aranthangi.

On some graph operations and related concepts.

Supervisor: Dr.T.N.Janakiraman.

Year of Completion:2005


Dr. S. Raghuraman

Professor, School of Mechanical

Engineering, SASTRA University, Thanjavur

Theoretical Prediction of Limiting Draw Ratio and Maximum Drawing Load for Cylindrical Cup Drawing Process.

Supervisor: Dr.R.Ponalagusamy

Year of Completion:2005



Professor, Erbil University, Iraq

An Efficient Numerical Integration for Cellular Neural Networks.

Supervisor: Dr.K.Murugesan

Year of Completion:2006


Dr. E. Kannan

Registrar, Vel Tech Rangarajan Dr. Sagunthala R&D Institute of Science and Technology

Avadi, Chennai

Parallel Algorithms for Tree Based Problems and All Pairs Shortest-Length Problem.

Supervisor: Dr.R.Ponalagusamy

Year of Completion:2006


Dr. R. Venkatesan

Professor, Department of Mechanical Engineering, Kumaraguru College of Technology, Coimbatore

Theoretical Study and Computer Aided Design on Metal Flow Analysis through Various Extrusion Dies.

Supervisor: Dr.R.Ponalagusamy

Year of Completion:2006


Dr. Michael Arock

Professor, Department of Computer Applications, National Institute of Technology, Tiruchirappalli

Design and Analysis of Parallel Algorithms on CREW PRAM and LARPBS Models.

Supervisor: Dr.R.Ponalagusamy

Year of Completion:2006


Dr.S. Muthammai

Retired Principal of Arts and Science College, Karaikkudi.

On some graph operations and related structures.

Supervisor: Dr.T.N.Janakiraman.

Year of Completion:2006


Dr.Poobala Ranjani

Retired Professor, SRC College

On some coloring and domination in graphs.

Supervisor: Dr.T.N.Janakiraman.

Year of Completion:2007



Principal, Arts and Science College, Satyamangalam

A study on Different types of Singular Systems using RK-Butcher Algorithm.

Supervisor: Dr.K.Murugesan

Year of Completion:2007


Dr.N. Ravi Kumar

Senior Scientist, Indian Agricultural department

Motion Tracking of Insects.

Supervisor: Dr.T.N.Janakiraman.

Year of Completion:2008


Dr. S. Senthil kumar

Former Professor, School of Information Technology and Engineering

VIT University, Vellore

New Embedded Runge Kutta Fourth Order Algorithms for Raster and TimeMultiplexing Cellular Neural Network Simulation.

Supervisor: Dr.R.Ponalagusamy

Year of Completion:2009


Dr. C. Saravanan

Associate Professor, Department of Computer Science and Engineering, National Institute of Technology, Durgapur, West Bengal

Analysis and Modeling of Gray Scale Image Compression.

Supervisor: Dr.R.Ponalagusamy

Year of Completion:2009



Assistant Professor, Department of Computer Science, Cochin University of Science and Technology(CUSAT), Cochin

Solution to protein folding problem using evolutionary algorithms.

Supervisor: Dr.K.Murugesan

Year of Completion:2009


Dr.P.V.S.S.R. Chandra Mouli

Associate Professor, NIT, Bhopal

Image Processing – Graph based Classification of images, Segmentation and Clustering.

Supervisor: Dr.T.N.Janakiraman.

Year of Completion:2010


Dr.J. Janet Lourds Rani

Professor of Malaysian University

On Clustering of Wireless networks.

Supervisor: Dr.T.N.Janakiraman.

Year of Completion:2010


Dr. B. S. E. Zoraida

Assistant Professor, Computer Science, Bharathidasan University,


Realization of Boolean Operations and Logistics Using DNA Strands.

Supervisor: Dr.R.Ponalagusamy

Year of Completion:2010


Dr.A. Vanav Kumar

Assistant Professor, Arunachal Pradesh

Unsteady boundary layer flow past a stretching sheet.

Supervisor: Dr.V.Kumaran.

Year of Completion:2011



Assistant Professor,

Perunthalaivar Kamarajar Institute of Engineering and Technology,Karaikal

Hole-Filler Template Design and Digital Image Inpainting Using Cellular Neural Network.

Supervisor: Dr.K.Murugesan

Year of Completion:2011



General Manager, BHEL, Trichy

Enhancing Query Performance in Enterprise Web Servers Through Improved Cache Utilization.

Supervisor: Dr.K.Murugesan.

Year of Completion :2011


Dr. K. Ponnammal

Associate Professor, Department of Mathematics, Periyar EVR College, Kajamalai, Tiruchirappalli

New Parallel Runge-Kutta and Rosenbrock Algorithms for Initial Value problems

Supervisor: Dr.R.Ponalagusamy

Year of Completion:2012


Dr.A. Senthil Thilak

Associate Professor, NIT, Surat

On Some Graph Theoretic Approaches To Clustering Algorithms And A Hybrid Cluster-Based Routing Protocol For Mobile Ad Hoc Networks.

Supervisor: Dr.T.N.Janakiraman

Year of Completion:2013


Dr. R. Tamil Selvi

Associate Professor, Department of Mathematics, National Institute of Technology, Trichy

Mathematical Models on Blood Flow Through Stenosed Arteries.

Supervisor: Dr.R.Ponalagusamy

Year of Completion:2013



Assistant Professor, Department of Mathematics, Central University of Tamil Nadu, Thiruvarur

Numerical Solutions for Systems of Volterra Integral Equations using Piecewise Constant Orthogonal Functions.

Supervisor: Dr.K.Murugesan

Year of Completion:2013


Dr. G. Revathi


Numerical Study of Non-Similar solutions for Unsteady Boundary layer Flow Problems with Surface Mass Transfer.

Supervisor: Dr.P.SaiKrishnan

Year of Completion:2014


Dr.S. Lakshmi Prabha

Statistic Service, Tamil Nadu Government.

Various Comfortable sets (Less dispersive and k-dominating sets) and domination in graph and their application in Social Network.

Supervisor: Dr.T.N.Janakiraman

Year of Completion: 2015


Dr. D. Jeyasimman

Associate Professor & Head, Department of Mechanical Engineering, Periyar Maniammai University, Thanjavur

Nano Composite Materials.

Supervisor: Dr.R.Ponalagusamy

Year of Completion:2015


Dr.V. Sangeetha

Associate Professor, Christ University, Bangalore

Distance closed sets, Distance closed domination sets and Related structures.

Supervisor: Dr.T.N.Janakiraman

Year of Completion:2015



Associate Professor, Sastra University, Thanjavur.

Graceful Labelling of Some Special Classes of Trees and some family of graphs with Cycles.

Supervisor: Dr.T.N.Janakiraman

Year of Completion:2016



Assistant Professor, ABV-IIITM, Gwalior

Ordering of Intuitionistic Fuzzy Numbers and its Applications.

Supervisor: Dr. V. Lakshmana Gomathi Nayagam

Date of VIVA: 28/8/2017



Assistant Professor, KL University,


Studies on Fuzzy Numbers and Intuitionistic Fuzzy Numbers with Applications.

Supervisor: Dr. V. Lakshmana Gomathi Nayagam

Date of VIVA: 04/10/2017



Senior lecturer in Mathematics Department, Government polytechnic College, Srikakulam

Parameter uniform numerical methods for a weakly coupled system of singularly perturbed boundary value problems with non- smooth data.

Supervisor: Dr.V.Shanthi

Date of VIVA:20-10-17


Dr.C.. Sivaraj

Temporary Faculty, NIT, Trichy

On Neighborhood based Clustering of Wireless Sensor Networks.

Supervisor: Dr.T.N.Janakiraman

Year of Completion:2017


Dr.R. Chandra Guru Sekar

Assistant professor,

Mepco Schlenk Engineering college, Sivakasi.

A Study on System of Volterra Integral and Integro-differential Equations using STWS Technique.

Supervisor: Dr. K. Murugesan

Date of VIVA: 24/8/2017



Post-Doctoral fellow, Brittany Atlantic Mathematics Laboratory-LMBA and psychology laboratory.The Universite Bretagne Sud(UBS),Campus de Tohannic,France

Numerical methods for singularly perturbed differential equations with Non-Smooth data.

Supervisor: Dr.V.Shanthi

Year of Completion:2017



Professor, Khadir Mohideen College, Adirampattinam

On balanced graphs, balanced dominating sets and related structures.

Supervisor: Dr.T.N.Janakiraman.

Year of Completion:2018




Numerical Investigation on Pulsatile Flow of Non-Newtonian Fluid in a Tube with Non-Uniform Cross-Section and its Applications to Blood Flow.

Supervisor: Dr. R. Ponalagusamy

Date of VIVA: 20/2/2018



Assistant Professor, Government Engineering College, Tirunelveli

Non-Similar solutions of steady MHD mixed convection boundary layer flows with slot mass transfer.

Supervisor: Dr. P.SaiKrishnan

Date of VIVA: 28/2/2018



Post-Doctoral Fellowship, IIT, Chennai

A class of discrete binomial moment problems.

Supervisor: Dr. V. Kumaran

Date of VIVA: 22/10/2018


Dr. Samyuktha


Numerical study of Non-Similar solutions for Mixed Convection Boundary Layer Flow Problems with Suction or Injection.

Supervisor: Dr.P.SaiKrishnan

Year of Completion:2018



Bishop Heber College, Trichy

Numerical Analysis for two-parameter singularly perturbed differential equations with non-smooth data.

Supervisor: Dr.V.Shanthi

Date of VIVA:03.04.2019

49 Dr. M. Jagadeeswari -

Approximation of Fuzzy numbers & its generalization towards multi-criteria decision making problems.

Supervisor: Dr. V. Lakshmana Gomathi Nayagam

Date of VIVA: 04.06.2021