Dr. M. C. S. Fernando

• Senior Lecturer (Gr II)- Department of Mathematics, Faculty of Science, University of Ruhuna, Sri Lanka (October 2018 - November 2023).

• Tutorial Assistant- Department of Mathematics, Faculty of Science, University of
  Ruhuna, Sri Lanka (December 2010 - July 2012).

• Partial Differential Equations Constrained Optimal Control Problems (related Analysis and Numerics)

• Mathematical Modelling with Ordinary Differential Equations and Partial Differential Equations.

• Computational Fluid Dynamics.

• Free Boundary Value Problems.

• Infectious Disease Epidemiology, Analysis and Numerics

Journal publications

•  T.D.T. Madushika, L.W. Somathilaka, M. C. S. Fernando, “Mathematical Modeling and Optimal Control Strategies for Diabetes Population Management”, submitted to International Journal of Mathematical Population Studies at Taylor & Francis, November 2023.

• E.M. Ranatunga, N.K. Hettiarachchi, M.K. Abeyratne, and M.C.S. Fernando,“Investigation of the Influence of Inner Geometries of the Receiver,Tube of a Parabolic Trough Collector System Used for Water Heating”, ENGINEER- The Journal of the Institution of Engineers, Sri Lanka - Vol. LVI, No. 04, pp. [105-119], 2023.

• L. W. Somathilaka, and M. C. S. Fernando.‘Optimal quarantine, isolation, and social distancing strategies for COVID-19 based on a mathematical model’, Int.J.Mathematical Modelling and Numerical Optimisation, Vol. 12, No. 4, pp.349–367, 2022.

• R. M. R. M. Jayathilaka, M. C. S. Fernando. "Numerical modeling of the spatial variation of sediment transport using wave climate schematization method-a case study of west coast of Sri Lanka." Journal of the National Science Foundation of Sri Lanka 47, no. 4, 421-433, 2019.

• S. Panda, M. Sellier, M. C. S. Fernando, M. K. Abeyratne. "Process parameter identification in thin film flows driven by a stretching surface." International Journal of Engineering Mathematics, Volume 2014, Article ID 485431, 12 pages, 2014.

Abstract publications

• T. D. T. Madushika, L. W. Somathilaka, M. C. S. Fernando, “A modified mathematical model for diabetic population dynamics with optimal control strategies”, Proceedings of 10 th Ruhuna International Science & Technology Conference, University of Ruhuna, Matara, Sri Lanka, ISSN: 1391-8796, 2023.

• L. W. Somathilaka, M. C. S. Fernando, “Optimal quarantine and isolation strategies for COVID-19 based on a mathematical model”, 18 th Academic Sessions 2021 University of Ruhuna, Matara, Sri Lanka, ISSN 2362-0412, 2021.

• E. M. Ranatunga, N. K. Hettiarachchi, M. K. Abeyratne, M. C. S. Fernando, “A two- dimensional numerical study on the development of two-phase flow inside a vertical solar collector pipe imposed by a homogeneous heat flux”, Proceedings of 8 th Ruhuna International Science & Technology Conference, University of Ruhuna, Matara, Sri Lanka. ISSN: 1391-8796, 2021.

• M. C. S. Fernando, R. Pinnau, O. Tse, “Optimal length control of themoelastic
  material“, Conference on Numerical Methods for Optimal Control and Inverse Problems, OCIP 2017, Technical University of Munich, Germany.

• M. C. S. Fernando, M. K. Abeyratne, “Finite Volume Method for solving Diffusion
  problems”, 8 th Annual Science Research Symp. 2011, University of Ruhuna. Sri Lanka.

Book publications

• Ph.D. Thesis, “Optimal control of free boundary value problems in thermoelasticity”, published at Verlag Dr. Hut, ISBN 9783843936743, 140 pages, Dissertation Technische Universität Kaiserslautern, 2018 (https://www.dr.hut-verlag.de/9783843936743.html)

• Undergrad-level research titled “Numerical Modelling Approach in Investigating Lagoon Water Salinity Profile in Sri Lanka”, collaboration work with NARA, Sri Lanka (from August 2023 to Present).

• Undergrad-level research titled “Optimal control of drug diffusion through the
  compartments of blood and tissue medium” (from August 2023 to Present).

• Postgraduate-level research titled “Development of a solar-powered water distillation system with a parabolic trough reflector and optimized receiver geometry”, collaboration work with the Department of Engineering, University of Ruhuna, UGC grant number PG2017(I)/RUH/02 (from January 2020 to Present).

• Co-supervisor of the postgraduate degree leading to a Ph.D. of the Student E.M. Ranathunga, Department of Physics, Faculty of Science, University of Ruhuna, UGC grant number PG2017(I)/RUH/02, 2019- present.

• A reviewer and convener at the 10 th Ruhuna International Science and Technology Conference,
  Sri Lanka, 2023.

• An external reviewer of the M.Phil degree of Ms. H.K. Abeynanda, Faculty of Graduate Studies, University of Sri Jayewardenepura, Registration number: 1450PS2017004, 2022.

• A reviewer and convener at the 9 th Ruhuna International Science and Technology Conference, Sri
  Lanka, 2022.

• A reviewer in ICAPS 2021, International Conference on Applied and Pure Science organized by the Faculty of Science, University of Kelaniya, 2021.

• A reviewer in ICMAS 2021, an International Conference organized by the Faculty of Science, University of Colombo, 2021.

• A reviewer in the Journal of the National Science Foundation of Sri Lanka, 2020.

• An editorial Assistant in the Ruhuna Journal of Science, 2020-2023.

• A reviewer and convener at the 7 th Ruhuna International Science and Technology Conference, Sri Lanka, 2020.

• A reviewer at the 6 th Ruhuna International Science and Technology Conference, Sri Lanka, 2019.