Dr. K. Murugesan

 

 
 
Prof. K. Murugesan
Department of Mathematics
National Insitute of Technology
Tiruchirappalli 620015

Email : murugu@nitt.edu

Personal website: https://sites.google.com/site/kmnitt/

Subjects Handled

  • Undergraduate Level
    1. Engineering Mathematics
    2. Numerical Methods
    3. Operations Research
  • Postgraduate Level
    1. Engineering Mathematics
    2. Software Engineering
    3. Database Management Systems

Employment Profile

Job Title Employer From To
Professor (HAG) The Director 29-04-2019 Till date
Professor The Director 01-01-2010 28-04-2019
Associate Professor The Director 01-01-2006 31.12.2009
Assistant Professor The Director 19-05-2002 31-12-2005
Senior Lecturer The Director 19-05-1997 18-05-2002
Lecturer The Director 19-05-1992 18-05-1997

Academic Qualifications

Examination Board / University Year Division/ Grade Subjects
Ph.D. Bharathiar 1992 --- Mathematics
M.Phil. Bharathiar 1988 First class Mathematics
M.Sc. Bharathiar 1987 First class Mathematics
B.Sc. Bharathiar 1985 First class Mathematics

Academic/Administrative Responsibilities within the University

Position Faculty/Department/Centre/Institution From To
Head of the Department N.I.T., Trichy 30-01-2015 17-01-2018
Associate Dean(Academic) N.I.T., Trichy 01-09-2008 15-09-2010
Coordinator-I-Year(UG) N.I.T., Trichy 01-01-2006 11-11-2008
Addl. Coordinator-I-Year-(UG) N.I.T., Trichy 26-07-2004 31-12-2005
Chairman, Ph.D. Admission Committee N.I.T., Trichy 28-01-2020 31.03.2022
Chairman, School Advisory Committee N.I.T., Trichy 01-03-2019 Till date

Academic/Administrative Responsibilities outside the University

Position Institution From To
Member of Planning and Monitoring Board Gandhigram Rural Institute, Gandhigram 04.08.2020 Till date
Senate Member for NITP, Karaikal N.I.T., Pondicherry, Karaikal. 02-08-2018 10-06-2022
Senate Member for IIIT, Srirangam IIIT, Srirangam 01-01-2017 31-12-2018
Member, Board of Studies Gandhigram Rural Institute, Gandhigram 29-04-2018 Till date
Member, Board of Studies ( 3 years term) Anna University, Chennai 26-02-2019 Till date
Member, Board of Studies N.I.T., Pondicherry, Karaikal 22-02-2019 Till date
Member of Academic Council Kongu Engineering College, Perundurai. 22-06-2018 Till date
Member of Executive Council Bishop Heber College, Trichy. 2018 2020
Member of Professional / Academic Bodies ISTE, New Delhi 1992 Till date

Awards, Associateships etc.

Year of Award Name of the Award Awarding Organization
2007 Best Teacher Award N.I.T., Trichy
2013 Tamil Nadu Scientist Award (TANSA) Government of Tamil Nadu
2021 Fellow of Academy of Sciences The Academy of Sciences, Chennai

Details of Academic Work

  • Curriculum Development: Framed the syllabus for M.Sc., Mathematics
  • Courses taught at Postgraduate and Undergraduate levels:
  • Numerical Analysis (M.Sc.,)
  • Engineering Mathematics (M.Tech)
  • Fourier Transforms and Numerical Techniques (B.Tech)
  • Projects guided at Postgraduate level: 02

(iv)Other contribution(s): Acted as Chairman for Ph.D. Admission committee and Chairman school advisory committee.

Number of PhDs guided

Name of the PhD Scholar Title of PhD Thesis Role(Supervisor/ Co-Supervisor) Year of Award
D. Paul Dhayabaran A study on Second Order Singular Systems using Extended RK Methods and STWS Technique Supervisor 2001
E.C.Henry Amirtharaj Numerical Strategies for the System of IVPs using extended fourth order RK methods based on a Variety of Means Supervisor 2002
V.Murugesh An Efficient Numerical Integration for Cellular Neural Networks Supervisor 2006
S.Sekar A study on Different types of Singular Systems using RK-Butcher Algorithm Supervisor 2007
M.V.Judy Solution to protein folding problem using evolutionary algorithms Supervisor 2009
P.Elango Hole-Filler Template Design and Digital Image Inpainting Using Cellular Neural Network Supervisor 2011
A.Raghunathan Enhancing Query Performance in Enterprise Web Servers Through Improved Cache Utilization Supervisor 2012
V.Balakumar Numerical Solutions for Systems of Volterra Integral Equations using Piecewise Constant Orthogonal Functions Supervisor 2014
R.Chandra Guru Sekar A study on System of Volterra Integral and Integro-Differential Equations using STWS Technique Supervisor 2017

Participation in Workshops/ Symposia/ Conferences/ Colloquia /Seminars/ Schools etc. (mentioning the role)

Date (s) Title of Activity Level of Event (International/ National/ Local) Role (Participant/ Speaker/ Chairperson, Paper presenter, Any other) Event Organized by Venue
15-05-2019 Workshop on Numerical Analysis using MATLAB, N.I.T., Trichy. May 15-19, 2019 National Workshop Coordinator NIT Trichy
02-03-2018 National Conference on Recent Trends in Applied Mathematics National Key Note Address Bishop Heber College Trichy
28-05-2006 International Conference on Computational Science International Speaker University of Reading London, UK

Workshops/ Symposia/ Conferences/ Colloquia/Seminars Organized (as Chairman/ Organizing Secretary/ Convenor / Co-Convenor)

Title of Activity Level of Event (International/ National/ Local) Date (s) Role Venue
International Conference on Logic, Information, Control & Computation International 27-02-2011 Chairman Gandhigram Rural Institute, Gandhigram
International Conference On Discrete & Computational Mathematics-2017 International 18-02-2017 Chairman Gandhigram Rural Institute, Gandhigram
National Conference on Mathematical Analysis and Applications, National 26-03-2019 Chairman N.I.T., Trichy
National Conference on Recent Trends in Analysis and Applied Mathematics National 09-05-2013 Chairman N.I.T., Trichy

Invited Talks delivered

Topic Date Inviting Organization
Application of Walsh Function to Circuit Problems 23-04-2004 School of Electrical & Computer Engineering, Pusan National University, South Korea
Applications of Mathematics March 2-3, 2018 Bishop Heber College, Trichy
TEQIP sponsored workshop on Mathematics-II 13th March 2015 Government College of Engineering, Salem

Membership of Learned Societies

Type of Membership (Ordinary Member/ Honorary Member / Life Member ) Organization Membership No. with date
Life Member ISTE, New Delhi LM 12412 & 1992

Academic Foreign Visits

Country Duration of Visit Programme
Pusan National University, South Korea July 2003 – July 2004 Visiting Professor
University of Central Florida 17-10-2007 to 16-11-2007 Visiting Professor under TEQIP
NTU, Singapore 17-02-2019 to 23-02-2019 Administrative Training

Publications

(A) Refereed Research Journals:
Author(s) Title of Paper Journal Volume (No.) Page numbers Year Impact Factor of the Journal (Optional)
S Singh, K Sakkaravarthi, T Tamizhmani, K Murugesan Painlevé analysis and higher-order rogue waves of a generalized (3+ 1)-dimensional shallow water wave equation Physica Scripta 97(5) - 2022
Sudhir Singh, K Sakkaravarthi,K Murugesan. Localized nonlinear waves on spatio-temporally controllable backgrounds for a (3+ 1)-dimensional Kadomtsev-Petviashvili-Boussinesq model in water waves Chaos, Solitons & Fractals 155 - 2022
R Sekar, K Murugesan Numerical Solutions of Non-Linear System of Higher Order Volterra Integro-Differential Equations using Generalized STWS Technique Differential Equations and Dynamical Systems 29(3) 609-621 2021
Sudhir Singh, A Mukherjee, K Sakkaravarthi, K Murugesan Computing wave solutions and conservation laws of conformable time-fractional Gardner and Benjamin–Ono equations Pranana 95(1) 1-13 2021
Sudhir Singh, K Murugesan Higher dimensional localized and periodic wave dynamics in an integrable (2+ 1)-dimensional deep water oceanic wave model 2021 Waves in random and complex media - 1-20 2021
Sudhir Singh, K Sakkaravarthi,K Murugesan. Bernstein Polynomial Collocation Method for Acceleration Motion of a Vertically Falling Non-spherical Particle Advances in Fluid Dynamics - 673-683 2021
Sudhir Singh, Lakhveer Kaur, R. Sakthivel, K. Murugesan Computing solitary wave solutions of coupled nonlinear Hirota and Helmholtz equations 2020 Physica A: Statistical Mechanics and its Applications 560 - 2020
Sudhir Singh, Lakhveer Kaur, K Sakkaravarthi, R Sakthivel and K Murugesan . Dynamics of higher-order bright and dark rogue waves in a new (2+ 1)-dimensional integrable Boussinesq model 2020 Physica Scripta 95(11) - 2020
Singh, S., Sakkaravarthi, K., Murugesan, K.et al. Benjamin-Ono equation: Rogue waves, generalized breathers, soliton bending, fission, and fusion 2020 Eur. Phys. J. Plus 135(10) 1-17 2020
Sudhir Singh andK. Murugesan et.all, 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 34(5) - 2020
A. Purusothaman, K. Murugesan, and Ali J. Chamkha, 3D modeling of natural convective heat transfer from a varying rectangular heat generating source Journal of Thermal Analysis and Calorimetry 138(1) 597–608 2019
A. Purusothamana, A. Baïrib, and K. Murugesan, Thermal state of electronic assemblies equipped with an array of heaters and coolers (HACs) subjected to natural convection Thermal Science and Engineering Progress 11 317-324 2019
A. Purusothamana, R. Chandra Guru Sekarb and K. Murugesan, Magnetic field and vibration effects on the onset of thermal convection in a grade fluid permeated anisotropic porous module Thermal Science and Engineering Progress 10 138–146 2019
R.Chandra Guru Sekar. and K. Murugesan Single term walsh series method for the system of nonlinear delay volterra integro-differential equations describing biological species living together
International Journal of Applied and computational Mathematics 4(1) 1-13 2018
R.Chandra Guru Sekar R. and K. Murugesan STWS approach for Hammerstein system of nonlinear Volterra integral equations of the second kind International Journal of Computer Mathematics 94(9) 1867-1878 2017
R.Chandra Guru Sekar R. and K. Murugesan, Numerical solutions of delay Volterra integral equations using single-term Walsh series approach International Journal of Applied and ComputationalMathematics 3(3) 2409-2421 2017
R Sekar, K Murugesan Single-Term Walsh Series Approach for the System of Linear and Non-linear Volterra Integral Equations of First Kind 2 International Journal of Applied and Computational Mathematics 3(3) 2639-2653 2017
R Chandra Guru Sekar, V Balakumar, K Murugesan Method of solving linear system of Volterra integro-differential equations using the Single Term Walsh Series International Journal of Applied and Computational Mathematics 3(2) 549-559 2017
R.Chandra Guru Sekar R. and K. Murugesan System of linear second order Volterra integro-differential equations using single term Walsh series technique Applied Mathematics and Computation. 273 484-492 2016
Balakumar, V; Murugesan, K Numerical solution of Volterra integral-algebraic equations using block pulse functions Applied Mathematics and Computation, 263 165-170 2015
Balakumar, V, Murugesan, K; Single-term Walsh series method for systems of linear Volterra integral equations of the second kind Applied Mathematics and Computation 228 371-376 2014
Balakumar, V, Murugesan, K Numerical solution of systems of linear Volterra integral equations using block-pulse functions Malaya Journal of Matematik S(1) 77-84 2013
Balakumar, V; Murugesan, K A Numerical Method for a Class of Linear Fractional Differential Equations Mathematical Modelling and Scientific Computation 283 360-366 2012
V Murugesh, K Murugesan, Kyung Tae Kim Simulation of Non-linear Singular System Using RK-Butcher Algorithm International Conference on Hybrid Information Technology, Springer, Berlin, Heidelberg, , 625-632. 2011
Raghunathan, A; Murugesan, K Performance-Enhanced Caching Scheme for Web Clusters for Dynamic Content International Journal of Business Data Communications and Networking (IJBDCN) 7(3) 16-36 2011
Murugesan, K; Balakumar, V Study on singular systems of index three via Runge-Kutta method of order-10 International Journal of Pure and Applied Mathematics 70( 5) 723-733 2011
Elango, P; Murugesan, K Image restoration using cellular neural network with contour tracking ideas International Journal of Computer Theory and Engineering 2(5) 724 2010
Elango, P, Murugesan, K CNN based Augmented Reality Using Numerical Approximation Techniques International Journal of Signal & Image Processing 1 205-210 2010
Raghunathan, A; Murugesan, K Schema-based cache validation of dynamic content to improve query performance of web services Journal of Web Engineering 116-131 2010
Raghunathan, A, Murugesan, K Optimized frequent pattern mining for classified data sets International Journal of Computer Applications 1( 27) 20-29 2010
Elango, P; Murugesan, K Digital image inpainting using cellular neural network Int. J. Open Problems Compt. Math 2(3) 439-450 2009
Judy, MV, Ravichandran, KS, Murugesan, K A multi-objective evolutionary algorithm for protein structure prediction with immune operators Computer methods in biomechanics and biomedical engineering 12(4) 407-413 2009
Murugesh, V; Murugesan, K RK–Butcher algorithms for singular system-based electronic circuit International Journal of Computer Mathematics 86(3) 523-536 2009
Vajravelu, Kuppalapalle; Sreenadh, S; Reddy, R Hemadri; Murugesan, K Peristaltic transport of a Casson fluid in contact with a Newtonian fluid in a circular tube with permeable wall International Journal of Fluid Mechanics Research 36(3) 2009
Judy, MV, Ravichnadran, KS; Murugesan, K; Enhancement of Protein Folding Problem using a Genetic Algorithm with Introns Journal of Computational Intelligence in Bioinformatics 1(1) 35-43 2008
K Murugesan, P Elango CNN based Hole filler template design using numerical integration techniques International Conference on Artificial Neural Networks, Springer, Berlin, Heidelberg 490-500 2007
V Murugesh, K Murugesan Simulation of time-multiplexing cellular neural networks with numerical integration algorithms International Conference on Computational Science,Springer, Berlin, Heidelberg 457-464 2006
Gopal, Devarajan; Murugesh, V; Murugesan, K Numerical solution of second-order robot arm control problem using Runge–Kutta–Butcher algorithm International Journal of Computer Mathematics 83(3) 345-356 2006
Evans, David J; Murugesan, K; Sekar, S; Kim, Hyun-Min Non-linear singular systems using RK–Butcher algorithms International Journal of Computer Mathematics 83(1), 131-142 2006
Dhayabaran, D Paul; Amirtharaj, EC Henry; Murugesan, K; Evans, DJ Numerical Solution of Robot Arm Model using STWS and RKHeM Techniques Computational Methods 1695-1699 2006
K Murugesan, S Sekar, V Murugesh, David J Evans Numerical strategies for the system of first-order IVPS using the RK–Butcher algorithm International Journal of Computer Mathematics, Taylor & Francis 82(11) 1379-1387. 2005
Park, JY; Murugesan, K; Evans, David J; Sekar, S; Murugesh, V Optimal control of time-varying singular systems using the RK–Butcher algorithm International Journal of Computer Mathematics 82(1), 617-627 2005
Murugesan, K; Gopalan, NP; Gopal, Devarajan Error free butcher algorithms for linear electrical circuits ETRI Journal 27( 2) 195-205 2005
Murugesh, V; Murugesan, K Simulation of Cellular Neural Networks using the RK-Butcher algorithm International Journal of Management and Systems 21 65-78 2005
JY Park, K Murugesan, David J Evans, S Sekar, V Murugesh Observer design of singular systems (transistor circuits) using the RK–Butcher algorithms International Journal of Computer Mathematics, Taylor & Francis 82(1) 111-123 2005
Murgesh, V; Murugesan, K Comparison of numerical integration algorithms in raster CNN simulation Asian Applied Computing Conference 115-122 2004
Park, JY; Evans, David J; Murugesan, K; Sekar, S; Murugesh, V Optimal control of singular systems using the RK–Butcher algorithm International Journal of Computer Mathematics 81( 2) 239-249 2004
Sekar, S; Murugesh, V; Murugesan, K; Numerical Strategies for the System of Second Order IVPs Using the RK-Butcher Algorithms IJCSA 1( 2) 96-117 2004
Murugesan, K; Sekar, S; Murugesh, V; Park, JY; Numerical solution of an industrial robot arm control problem using the RK–Butcher algorithm International Journal of Computer Applications in Technology, 19( 2) 132-138 2004
Murugesan, K; Dhayabaran, Paul; Amirtharaj, Henry; Evans, David Numerical strategy for the system of second order IVPs using RK method based on centroidal mean International Journal of Computer Mathematics 80(2) 233-241 2003
Sekar, S; Murugesh, V; Murugesan, K The RK-Butcher Algorithm Approach To Stiff Systems Of Higher Dimension Mathematical and computational Models 233 2003
Murugesan, K; Dhayabaran, D Paul; Amirtharaj, EC Henry; A study of second-order state-space systems of time-invariant and time-varying transistor circuits using the STWS technique International Journal of Electronics 89(4) 305-315
Murugesan, K; Dhayabaran, D Paul; Amirtharaj, EC Henry; Evans, David J , A fourth order embedded Runge-Kutta RKACeM (4, 4) method based on arithmetic and centroidal means with error control International Journal of Computer Mathematics 79( 2) 247-269 2002
Ponalagusamy, R; Murugesan, K; Dhayabaran, D Paul; Amirtharaj, EC Henry Numerical solution of heat flow problem by a combined method of rayleigh ritz with STWS and RKHM Advances In Modelling And Analysis-A 38(1/2) 29-48 2001
Murugesan, K; Paul Dhayabaran, D; Henry Amirtharaj, EC; Evans, David J A comparison of extended Runge-Kutta formulae based on variety of means to solve system of IVPs International Journal of Computer Mathematics 78( 2), 225-252 2001
K Murugesan, D Paul Dhayabarant, EC Henry Amirtharaj Numerical solution of time varying singular systems via Single Term Walsh Series technique Proceedings of the Congress of the Indian Society of Theoretical and Applied Mechanics 45 181 2000
Murugesan, K; Paul Dhayabaran, D; Evans, David J Analysis of non-linear singular system from fluid dynamics using extended Runge-Kutta methods International Journal of Computer Mathematics 76(2) 239-266 2000
K Murugesan, DP Dhayabaran, DJ Evans Section B: Applications-Analysis of Second Order Multivariable Linear System Using Single Term Walsh Series Technique and Runge Kutta Method International Journal of Computer Mathematics 72(3) 367-374 1999
Murugesan, K; Dhabaran, D Paul; Evans, David J Analysis of different second order systems via Runge-Kutta method International Journal of Computer Mathematics 70(3) 477-493 1999
Murugesan, K; Paul Dhayabaran, D; Evans, David J Analysis of second order multivariate linear system using single term walsh series technique and runge kutta method International Journal of Computer Mathematics 72( 3) 367-374 1999
Balachandran, K; Murugesan, K Note on single-term Walsh series method for singular systems 1 IEE Proceedings D-Control Theory and Applications 139( 3) 347-348 1992
Phat, VN; Murugesan, K A note on constrained controllability of linear descriptor systems Optimization 25( 1), 77-81 1992
Balachandran, K; Murugesan, K Optimal control of singular systems via single-term Walsh series International Journal of Computer Mathematics 43(3- 4) 153-159 1992
Balachandran, K & Murugesan, K Analysis of transistor circuits using the single-term Walsh series technique International Journal of Electronics 71( 3) 397-401 1991
Balachandran, K & Murugesan, K Numerical solution of a singular nonlinear system from fluid dynamics International Journal of Computer Mathematics 38(3- 4) 211-218 1991
Balachandran, K & Murugesan, K Analysis of electronic circuits using the single-term Walsh series approach International Journal of Electronics 69( 3) 327-332 1990
Balachandran, K & Murugesan, K Analysis of nonlinear singular systems via STWS method International Journal of Computer Mathematics 36(1-2) 9-12 1990
Balachandran, K; Murugesan, K Analysis of different systems via single-term Walsh series method International Journal of Computer Mathematics 33(3- 4) 171-179 1990
(B) Conferences/Workshops/Symposia Proceedings
Author(s) Title of Abstract/ Paper Title of the Proceedings Page numbers Conference Theme Venue Year
Sudhir Singh, K. Murugesan Bernstein polynomial collocation method for acceleration motion of a vertically falling non-spherical particle Lecture Notes in Mechanical Engineering – Springer (SCOPUS) - ICAFD-2018 - 2018
Sudhir Singh, K. Sakkarvarthi, K. Murugesan Dynamics and Control of Interaction Waves of Sixth-order Nonlinear Ramani Equation Accepted in AIP Conference Proceedings(SCOPUS) - National Conference on Advances in Applied Sciences and Mathematics (NCASM-20) - 2020
V.Balakumar and K.Murugesan A Numerical Method for a class of Linear Fractional Differential Equations Proceedings in Communications in Computer and Information Science (CCIS), Vol. 283 360-366 International Conference on Mathematical Modelling and Scientific Computation (ICMMSC) Gandhigram Rural Institute – Deemed University, Dindigul 2012
V.Murugesh, K.Murugesan and Kyung Tae Kim Simulation of Non-linear Singular System Using RK-Butcher Algorithm Proceedings in Communications in Computer and Information Science (CCIS), Vol. 206 625-632 Convergence and Hybrid Information Technology - 5th International Conference (ICHIT) Daejeon, Korea 2011
D.Paul Dhayabaran, E.C.Henry Amirtharaj, K.Murugesan and D.J.Evans Numerical Solution of Robot Arm Model using STWs and RKHeM Techniques Proceedings of First International Conference on Computational Methods 1695 – 1699 2006
M.V.Judy, K.S.Ravichandran and K.Murugesan An Enhanced Multi-objective Evolutionary Approach for Protein Structure Prediction IEEE 1918-1923 Interntional Advance Computing Conference (IACC) Patiala, India 2009
(C) Books & Monographs Name of Publishers
Author(s) Title of Book/Monograph Year of Publication ISSN/ISBN Number
K.Balachandran and K.Murugesan Applications of Single-Term Walsh Series Techniques to Singular Systems AMSE Press,Tassin,France 1992 -

Contact Address

Dr. K. MURUGESAN
Professor HAG,
Department of Mathematics,
National Institute of Technology,
Tiruchirappalli - 620 015,
India.

Contact number: 0431-2503661