• Applied Mathematics

• Analytical Methods and Numerical Methods to solve ODEs and PDEs
• Applied Mathematics

Journal Publications

• Sahabandu C. W, Karunarathna D, Sewvandi P, Juman Z. A. M. S, Dewasurendra M, Vajravelu K, A Method of Directly Defining the inverse Mapping for a nonlinear partial differential equation and for systems of nonlinear partial differential equations, Computational and Applied Mathematics (2021) 40:234.
• Karunarathna W. H. D.T, Dewasurendra M. T. M, Method of Directly Defining the Inverse Mapping for Nonlinear Ordinary and Partial Fractional-Order Differential Equations, 2022.

Abstract Publications

• Karunarathna W. H. D.T, Adikari P, Dewasurendra M. T. M, Method of Directly Defining the inverse Mapping for Partial Differential Equations, Proceedings of the Postgraduate Institute of Science Research Congress, Sri Lanka: 05th –07th November 2020.
• Sahabandu C. W, Karunarathna W. H. D. T, Dewasurendra M, Application of the Method of Directly Defining the inverse Mapping to Fingering Phenomenon in the Oil Industry, Proceedings of 8th Ruhuna International Science & Technology Conference, University of Ruhuna, Matara, Sri Lanka, ISSN: 1391-8796, 17th February 2021.
• Karunarathna W. H. D. T, Sahabandu C. W, Dewasurendra M, Semi-analytic solutions for the transitional Korteweg-de Vries equation via Similarity Solution, Proceedings of the International Conference of Mathematics and Mathematics Education, 8 ^th- 9^th October 2021.
• Karunarathna W. H. D. T, Dewasurendra M. T. M, Approximate analytical solution for Korteweg de Vries equation via the Method of Directly Defining the inverse Mapping, Proceedings of the Postgraduate Institute of Science Research Congress, Sri Lanka: 29th –31st October 2021.
• Karunarathna W. H. D. T, Dewasurendra M. T. M, Directly Defining the inverse Mapping Method for Solving a Delay Differential Equation of Fractional Order, International Symposium of Rajarata University of Sri Lanka, 21st-22nd December 2021.
• Karunarathna W. H. D. T, Samarakoon S. M. P. T. B, Dewasurendra M. T. M, Approximate Analytical Solution for the Cauchy Fuzzy Reaction-Diffusion Equation via Method of Directly Defining the inverse Mapping, Proceedings of 9th Ruhuna International Science & Technology Conference, University of Ruhuna, Matara, Sri Lanka: 19th January 2022.
• Karunarathna W. H. D. T, Dissanayake K. M. N, Dewasurendra M. T. M, Comparison of Radial Basis Function Global Method and Radial Basis Function-Finite Difference (Local) Method as an Interpolation Technique, Proceedings of the Postgraduate Institute of Science Research Congress, Sri Lanka: 28th –30th October 2022.