Publications
LIST OF PUBLICATIONS
International Journals:
- Sudhir Singh and K. 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 (2020), Vol. 34, No. 05, 2050068 -1-16.
- 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(2019), Vol. 11, 317-324.
- 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 (2019) 138–146.
- 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 (2019) 138:597–608.
- 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 Computational Mathematics (2017), 3, 2409-2421.
- R.Chandra Guru Sekar R. and K. Murugesan, Numerical Solutions of Nonlinear System of Higher Order Volterra Integro-Differential Equations using Generalized STWS Technique, Differential Equations and Dynamical Systems,(2017) 1-13.
- 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,(2016), 484-492.
- R.Chandra Guru Sekar R. and K. Murugesan, STWS Approach for Hammerstein System of Nonlinear Volterra Integral Equations of Second kind, International Journal of Computer Mathematics , 94(2016),1867-1878.
- R. Chandra Guru Sekar, V. Balakumar and 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 1, (2015), 549-559.
- Balakumar, V; Murugesan, K; , Numerical solution of Volterra integral-algebraic equations using block pulse functions, Applied Mathematics and Computation, 263(2015), 165-170.
- 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(2014), 371-376.
- Balakumar, V, Murugesan, K; , Numerical solution of systems of linear Volterra integral equations using block-pulse functions, Malaya Journal of Matematik, S, 1(2013), , 77-84.
- Balakumar, V; Murugesan, K; , A Numerical Method for a Class of Linear Fractional Differential Equations, Mathematical Modelling and Scientific Computation, (2012), 360-366.
- 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(2011), 5, 723-733.
- Raghunathan, A; Murugesan, K; , Performance-Enhanced Caching Scheme for Web Clusters for Dynamic Content, International Journal of Business Data Communications and Networking (IJBDCN), 7(2011), 3, 16-36.
- Raghunathan, A; Murugesan, K; , Schema-based cache validation of dynamic content to improve query performance of web services, Journal of Web Engineering, 9(2010), 2, 116-131.
- Elango, P; Murugesan, K; , Image Restoration Using Cellular Neural Network With Contour Tracking Ideas, International Journal of Computer Theory and Engineering, 2(2010), 5, 724.
- Elango, P, Murugesan, K;, CNN based Augmented Reality Using Numerical Approximation Techniques., International Journal of Signal & Image Processing, 1(2010), 3, .
- Raghunathan, A, Murugesan, K , Optimized Frequent Pattern Mining for Classified Data Sets, International Journal of Computer Applications, 1(2010), 27, 20-29.
- Elango, P; Murugesan, K; , Digital image inpainting using cellular neural network, Int. J. Open Problems Compt. Math, 2(2009), 3, 439-450.
- 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(2009), 4, 407-413.
- 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(2009), 3, .
- Murugesh, V; Murugesan, K; , RK–Butcher algorithms for singular system-based electronic circuit, International Journal of Computer Mathematics, 86(2009), 3, 523-536.
- Judy, MV, Ravichnadran, KS; Murugesan, K; , Enhancement of Protein Folding Problem using a Genetic Algorithm with Introns, Journal of Computational Intelligence in Bioinformatics, 1(2008), 1, 35-43.
- Evans, David J; Murugesan, K; Sekar, S; Kim, Hyun-Min; , Non-linear singular systems using RK–Butcher algorithms, International Journal of Computer Mathematics, 83(2006), 1, 131-142.
- Dhayabaran, D Paul; Amirtharaj, EC Henry; Murugesan, K; Evans, DJ; , Numerical Solution of Robot Arm Model using STWS and RKHeM Techniques, Computational Methods, (2006), , 1695-1699.
- 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(2006), 3, 345-356.
- Murugesh, V; Murugesan, K; , Simulation of cellular neural networks using the RK-Butcher algorithm, International Journal of Management and Systems, 21(2005), , 65-78.
- Murugesan, K; Gopalan, NP; Gopal, Devarajan; , Error free butcher algorithms for linear electrical circuits, ETRI Journal, 27(2005), 2, 195-205.
- Park, JY; Murugesan, K; Evans, David J; Sekar, S; Murugesh, V; , Observer design of singular systems (transistor circuits) using the RK–Butcher algorithms, International Journal of Computer Mathematics, 82(2005), 1, 111-123.
- Park, JY; Evans, David J; Murugesan, K; Sekar, S; , Optimal control of time-varying singular systems using the RK–Butcher algorithm, International Journal of computer mathematics, 82(2005), 5, 617-627.
- Sekar, S; Murugesh, V; Murugesan, K; , Numerical Strategies for the System of Second Order IVPs Using the RK-Butcher Algorithms., IJCSA, 1(2004), 2, 96-117.
- 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(2004), 2, 239-249.
- 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(2004), 2, 132-138.
- 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(2003), 2, 233-241.
- Sekar, S; Murugesh, V; Murugesan, K; , The RK-Butcher Algorithm Approach To Stiff Systems of Higher Dimension, Mathematical and computational Models, (2003), 233.
- 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(2002), 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(2002), 2, 247-269.
- 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(2001), 2-Jan, 29-48.
- 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(2001), 2, 225-252.
- 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(2000), 2, 239-266.
- 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(1999), 3, 367-374.
- Murugesan, K; Dhabaran, D Paul; Evans, David J; , Analysis of different second order systems via Runge-Kutta method, International Journal of Computer Mathematics, 70(1999), 3, 477-493.
- Balachandran, K; Murugesan, K; , Note on single-term Walsh series method for singular systems, IEE Proceedings D-Control Theory and Applications, 139(1992), 3, 347-348.
- Balachandran, K; Murugesan, K , Optimal control of singular systems via single-term Walsh series, International Journal of Computer Mathematics, 43(1992), 4-Mar, 153-159.
- Phat, VN; Murugesan, K; , A note on constrained controllability of linear descriptor systems, Optimization, 25(1992), 1, 77-81.
- Balachandran, K; Murugesan, K; , Numerical solution of a singular nonlinear system from fluid dynamics, International Journal of Computer Mathematics, 38(1991), 4-Mar, 211-218.
- Balachandran. K, Murugesan. K, Analysis of transistor circuits using the single-term Walsh series technique, International Journal of Electronics, 71(1991), 3, 397-401.
- Balachandran, K; Murugesan, K; , Analysis of different systems via single-term Walsh series method, International Journal of Computer Mathematics, 33(1990), 4-Mar, 171-179.
- Balachandran, K; Murugesan, K; , Analysis of electronic circuits using the single-term Walsh series approach, International Journal of Electronics, 69(1990), 3, 327-332.
- Balachandran, K & Murugesan, K , Analysis of nonlinear singular systems via STWS method, International Journal of Computer Mathematics, 36(1990), 2-Jan, 12-Sep.
International Conferences:
- S.Sekar, V.Murugesh and K.Murugesan, Analysis of Non-linear Singular Systems via Ringe-Kutta Methods and the RK-Butcher Algorithm. International Conference on National Phenomena (ICNP-2004), January 5-10, 2004, Indian Institute of Science, Bangalore
- S.Sekar, V.Murugesh and K.Murugesan, Simulation of fed-batch fermentation process using RK-Butcher Algorithm. International Conference on Mathematical Biology (ICMB-2004), February 19-21, 2004, Indian Institute of Technology, Kanpur.
- V.Murugesh and K.Murugesan, Comparison of Numerical Integration Algorithms in Raster CNN simulation (Preliminary version). 7th International Conference on Information Technology (CIT-2004), December 20-23, 2004, Institute for Development of Research in Banking Technology, Hyderabad.
- Murgesh, V; Murugesan, K; , Comparison of numerical integration algorithms in raster CNN simulation, Asian Applied Computing Conference, (2004), , 115-122.
- 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, Springer Netherlands, 1695 – 1699, 2006.
- Murugesh, V; Murugesan, K; , Simulation of time-multiplexing cellular neural networks with numerical integration algorithms, International Conference on Computational Science, (2006), , 457-464.
- K.Murugesan ,P.Elango and V.Murugesh, WebUsage Mining an Improved Data Mining algorithm, International Conference on Mathematics and Computer Science (ICMCS 2007), Loyola College, Chennai, 01 March 2007 – 03 March 2007.
- K.Murugesan , V.Murugesh and P.Elango, A study on Time – Invariant and time-varying Electronic Circuits using the RK-Butcher Algorithms International Conference on Mathematics and Computer Science (ICMCS 2007), Loyola College, Chennai, 01 March 2007 – 03 March 2007.
- Murugesan, K; Elango, P; , CNN based Hole filler template design using numerical integration techniques, International Conference on Artificial Neural Networks, (2007), , 490-500.
- K.Murugesan , V.Murugesh and P.Elango, A study on stability regions of the Runge-Kutta Algorithms based on variety of methods, International Conference on Mathematics and Computer Science (ICMCS 2007), Loyola College, Chennai, 01 March 2007 – 03 March 2007
- M.V.Judy, K.S.Ravichandran and K.Murugesan, “An Enhanced Multi-objective Evolutionary Approach for Protein Structure Prediction”, IEEE Interntional Advance Computing Conference (IACC), Patiala, India, 6-7 March, 2009, pp.1918-1923
- Murugesh, V; Murugesan, K; Kim, Kyung Tae; , Simulation of Non-linear Singular System Using RK-Butcher Algorithm, International Conference on Hybrid Information Technology, (2011), , 625-632.
- V.Balakumar and K.Murugesan, “A Numerical Method for Linear Fractional Differential Equations”, Heber International Conference on Applications of Mathematics and Statistics (HICAMS), Bishop Heber College, Tiruchirappalli – 620017, 5-7 January, 2012, pp.558-562.
- V.Murugesh, K.Murugesan and Kyung Tae Kim, “Simulation of Non-linear Singular System Using RK-Butcher Algorithm” Convergence and Hybrid Information Technology - 5th International Conference (ICHIT) Daejeon, Korea, 22-24 September, 2011, pp.625-632. Proceedings in Communications in Computer and Information Science (CCIS), Vol. 206, Springer.
- V.Balakumar and K.Murugesan, “A Numerical Method for a class of Linear Fractional Differential Equations”, International Conference on Mathematical Modelling and Scientific Computation (ICMMSC), Gandhigram Rural Institute – Deemed University, Dindigul, 16-18 March, 2012, pp.360-366./Proceedings in Communications in Computer and Information Science (CCIS), Vol. 283, Springer.
- V.Balakumar and K.Murugesan, “Numerical Approximation of Jumarie's Fractional Integral”, International Conference on Mathematical Modelling & Applied Soft Computing (MMASC), Coimbatore Institute of Technology, Coimbatore, 11-13 July, 2012, pp.556-560.
- V. Balakumar and K. Murugesan, “Numerical solution of systems of linear Volterra integral equations using block-pulse functions”, National conference organized at KSR College Tiruchengode, 2014.
National Conferences:
- K.Balachandran, K.Murugesan and K.R.Palanisamy, A survey of Singular Systems, Proc. 13th National Systems Conference, IIT, Kharagpur, India, 1989, pp 349-352
- Murugesan, K; Dhayabaran, D Paul; AmirtharaJ, EC Henry; , 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(2000), , 181.
- S.Sekar, V.Murugesh and K.Murugesan, The RK-Butcher Algorithm Approach to Stiff Systems of Higher Dimension. National Conference on Mathematical and Computational Models (NCMCM-2003), December 11-12, 2003, PSG College of Technology, Coimbatore.
- V.Murugesh and K.Murugesan, Comparison of Numerical Integration Algorithms in Multi-layer Raster CNN simulation. 19th National Convention of Computer Engineers, March 12-13, 2005, The Institution of Engineers (India), Kerala State Centre, Trivandrum.
Monograph
- K.Balachandran and K.Murugesan, Applications of Single-Term Walsh Series Techniques to Singular Systems, AMSE Press, Tassin, France, 1992.