Dr. (Mrs.) 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

 Publications:

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).

1. 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.

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

3. 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.

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

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

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

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

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

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

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