• M.Phil in Mathematics, University of Peradeniya
• B.Sc (Hons) in Mathematics (First Class), University of Peradeniya

• Differential Equations
• Numerical Methods
• Mathematical Modelling

• University Award for Academic Excellence (2021), University of Peradeniya

• Temporary Demonstrator, Department of Mathematics, Faculty of Science, University of Peradeniya (2021-2022).
• Lecturer (Temporary), Department of Mathematics and Philosophy of Engineering, Faculty of Engineering, The Open University of Sri Lanka, Nawala (2022-2023).
• Instructor Gr. II, Department of Mathematics, Faculty of Engineering, General Sir John Kotelawala Defence University, Ratmalana (2023-2024).

Journal Publications (Indexed/Refereed/Peer reviewed):

1. Karunarathna, D., Sahabandu, C. W., Sewvandi, P., Juman, Z. A. M. S., Dewasurendra, M., & Vajravelu, K. (2021). 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, 40(234). https://doi.org/10.1007/s40314-021-01509-x
2. Mudiyanselage, N. K., & Karunarathna, D. (2025). A radial basis function-finite difference approach for time-dependent parameter identification of the heat equation. International Journal of Applied Mathematics, 38(2), 205–226.
3. Dulashini Karunarathna, Mangalagama Dewasurendra, “Semi Analytical Solutions of Transitional Korteweg-de Vries Equations,” WSEAS Transactions on Systems, vol. 24, pp. 633-641, 2025, DOI:10.37394/23202.2025.24.55.
4. Karunarathna W. H. D. T., Kulasekera Mudiyanselage N. and Dewasurendra M. T. M. (2025). Radial Basis Function-Finite Difference Method for Groundwater Flow Equations in a Confined Aquifer System, Ceylon Journal of Science, 54 (4) 2025: 1235-1243.

Full Paper (Conference Proceedings):

1. Karunarathna, D., and M., Method of Directly Defining the Inverse Mapping for Nonlinear Ordinary and Partial Fractional-Order Differential Equations, International Conference on Mathematics and Computing. Singapore: Springer Nature Singapore, 2022.
2. Karunarathna W. H. D. T., Attanayake A. M. H. I., Optimal Homotopy Analysis Method for Mixed Convection Flow with a Nonuniform Heat Source over a Vertical Nonlinear Stretching Surface. Proceedings of the 17^th Symposium on Applied Science, Business & Industrial Research 2025, ISSN 2989-0683, ISBN 978-624-6674-14-4.
3. Karunarathna W. H. D. T., Diluxana K., Statistical Analysis of Data Quality Challenges Faced by Audit Professionals: A Case Study in the ABC Company. Proceedings of the 17^th Symposium on Applied Science, Business & Industrial Research 2025, ISSN 2989-0683, ISBN 978-624-6674-14-4.

Extended Abstract

1. Karunarathna, W. H. D. T., Mudiyanselage, N. K., & Dewasurendra, M. T. M. (2025). Radial basis function-finite difference method for contaminant transport problems. International Conference on Computational and Mathematical Modeling.

Abstract Publications (Conference Proceedings)

1. Karunarathna, W. H. D. T., Adikari, P., & Dewasurendra, M. T. M. (2020, November 5–7). Method of directly defining the inverse mapping for partial differential equations. Proceedings of the Postgraduate Institute of Science Research Congress, Sri Lanka.
2. Sahabandu, C. W., Karunarathna, W. H. D. T., & Dewasurendra, M. (2021, February 17). Application of the method of directly defining the inverse mapping to fingering phenomenon in the oil industry. Proceedings of the 8th Ruhuna International Science & Technology Conference, University of Ruhuna, Matara, Sri Lanka. ISSN: 1391-8796.
3. Karunarathna, W. H. D. T., Sahabandu, C. W., & Dewasurendra, M. (2021, October 8–9). Semi-analytic solutions for the transitional Korteweg-de Vries equation via similarity solution. Proceedings of the International Conference of Mathematics and Mathematics Education.
4. Karunarathna, W. H. D. T., & Dewasurendra, M. T. M. (2021, October 29–31). 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.
5. Karunarathna, W. H. D. T., & Dewasurendra, M. T. M. (2021). Directly defining the inverse mapping method for solving a delay differential equation of fractional order. International Symposium of Rajarata University of Sri Lanka (ISymRU 2021).
6. Karunarathna, W. H. D. T., Dissanayake, K. M. N., & Dewasurendra, M. T. M. (2022, October 28–30). 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.
7. Karunarathna, W. H. D. T., & Dewasurendra, M. (2022, January 19). Approximate analytical solution for the Korteweg-de Vries equation via the method of directly defining inverse mapping. Proceedings of the 9th Ruhuna International Science & Technology Conference, University of Ruhuna, Matara, Sri Lanka. ISSN: 1391-8796.
8. Karunarathna, W. H. D. T., Dissanayake, K. M. N., & Dewasurendra, M. T. M. (2023, July 14–15). Study of nitrogen dioxide annual average concentration in Colombo using inverse distance weighted and local radial basis function. Proceedings of the International Conference of Mathematics and Mathematics Education.
9. Karunarathna, W. H. D. T., Dissanayake, K. M. N., & Dewasurendra, M. T. M. (2024, November 1–2). Solving heat equation using radial basis function finite difference method. Proceedings of the Postgraduate Institute of Science Research Congress, Sri Lanka.
10. Attanayake, A. M. H. L., Karunarathna, W. H. D. T., Dewasurendra, M. T. M. (2025, November 7-8), Comparison of the flow Characteristics of Gold and Graphene Nanoparticles in a Stenosed Artery using Optimal Homotopy Analysis Method. Proceedings of the Postgraduate Institute of Science Research Congress, Sri Lanka.
11. Attanayake, A. M. H. L., Karunarathna, W. H. D. T., Dewasurendra, M. T. M. (2025, July 4–5). Study on particle shape on micropolar nanofluids over an exponentially stretching sheet in a porous medium using optimal homotopy analysis method. Proceedings of the International Conference of Mathematics and Mathematics Education.
12. Upamali, W. G. D. H., Karunarathna, W. H. D. T., Dewasurendra, M. T. M. (2025, July 4–5). Study ellis hybrid nanofluid flow subject to a stretching cylinder using optimal homotopy analysis method. Proceedings of the International Conference of Mathematics and Mathematics Education.

• Senior Treasurer, Mathematical Society of Wayamba, Wayamba University of Sri Lanka (2025-todate).
• Mentor, Faculty of Applied Sciences, Wayamba University of Sri Lanka.