Academic Staff member

Dr. L. W. Somathilake

Senior Lecturer Grade I

B.Sc University of Kelaniya
PG.Dip University of Sri Jayewardenepura, Sri Lanka
M.Phil University of Ruhuna, Sri Lanka
Ph.D University of Ruhuna, Sri Lanka

sthilake@maths.ruh.ac.lk
0412222681/14115

LinnkedIn ResearchGate Google Scholar

  • AMT111b Classsical Mechanics I   -       2016,  2020,  2022,  2023
  • AMT122b Mathematical Modelling-I   -       2018,  2019,  2021,  2022
  • IMT111b Classical Mechanics-I   -       2016,  2020,  2020,  2021,  2021,  2021,  2022,  2022
  • IMT122b Mathematical Modelling-I   -       2020,  2021,  2022
  • mat312b Real Analysis III   -       2018
  • MMA3113 Mathematical Methods in Physics and Engineering   -       2016,  2018
  • MPM3123 Real Analysis-III   -       2019
  • MSP312b Real Analysis III   -       2018,  2020,  2022,  2022
  • MSP3144 Mathematical Methods in Physics and Engineering II   -       2016
  • MSP3174 Topology   -       2017,  2018
  • MSP322a Real Analysis IV   -       2019,  2020,  2022,  2023
  • MSP4234 Dynamical Systems/Control Theory   -       2022
  • Numerical and Analytical Partial Differential Equations
  • Reaction Diffusion Equations
  • Fractional Reaction Diffusion Equations
  • Reaction Diffusion and Fractional Reaction Diffusion Patterns Formations
  • Mathematical Biology

    Journals

  • L. W. Somathilake, Analyzing the effects of quarantine, isolation, and vaccination on the spread of COVID-19 via a mathematical model, Journal of the National Science Foundation of Sri Lanka Vol. 51 (1): 159- 174
  • L. W. Somathilake, Comparative analysis of three memory selection meth- ods for time integration of Fractional Reaction-Diffusion Equations, Journal of the National Science Foundation of Sri Lanka Vol. 2023 51(2): 373 -385
  • Somathilake L.W. and Fernando M. C. S. (2022), Optimal quarantine, isola- tion, and social distancing strategies for COVID-19 based on a mathematical model, Int. J. Mathematical Modelling and Numerical Optimisation, Vol. 12, No. 4, 2022, pp. 349-367
  • Sandaruwini B. A. P. N. and Somathilake L. W. (2022), The Effect of Control Strategies on the Spread of COVID-19 based on a Mathematical Model, J. Innovation Sciences and Sustainable Technologies, 2(2)(2022), 75 - 90.
  • L W Somathilake and Kevin Burrage, Pattern formation in a time-fractional Reaction-Diffusion System, Journal of Fractional Calculus and Applications, Vol. 12(1) Jan. 2021, pp. 9-24.
  • L W Somathilake, An efficient numerical method for fractional ordinary differential equations - based on exponentially decreasing random memory on uniform meshes, J.Natn.Sci.Foundation Sri Lanka 2020 48 (2): 163 - 174
  • LekamWatte Somathilake and Kevin Burrage (2018) A space-fractional-reaction-diffusion model for pattern formation in coral reefs, Cogent Mathematics & Statistics (2018), 5: 1426524.
  • Somathilake L.W., Wedagedera J.R. (2016) Investigation of branching structure formation by solutions of a mathematical model of pattern formation in coral reefs, Journal of National Science Foundation Sri Lanka, 44 (4): 427-436
  • Somathilake L.W., Wedagedera J.R. (2015) Stationary Solutions of a Mathematical Model for Formation of Coral Patterns, Applied Mathematics, 6: 1099-1106.
  • Somathilake L.W., Wedagedera J.R. (2012) On the Stability of a Mathematical Model for Coral Growth in a Tank, British Journal of Mathematics and Computer Science, 2(4): 255-280.
  • Somathilake L. W. (2009) Numerical Solutions of Reaction-Diffusion systems with coupled diffusion terms, Ruhuna Journal of Science, 4: 1-12
  • Somathilake L.W. (2008) Numerical Solutions of some pattern formation Reaction-Diffusion Systems Using Finite Difference Techniques, International Journal of Mathematical Modeling, Simulation and Applications, 1(2): 163-174
  • Somathilake L.W., Peiris J. M. J. J. (2005) Global solutions of a Strongly Coupled Reaction-Diffusion System with different diffusion coefficients. Journal of Applied Mathematics 1: 23-36

    • Conference (Abstracts)

  • S.K.D.T.D.Korala and L.W.Somathilake, A Fractional odder Mathematical Model for the spread of COVID-19 with Quarantine and Isolation control strategies, International Conference on Mathematics and Mathematics Education 2023, Postgraduate Institute of Science (PGIS), University of Peradeniya, Sri Lanka.
  • B.A.P.N. Sandaruwini and L.W. Somathilake, Immunity waning dynamics of COVID-19 through a Mathematical Models, International Conference on Mathematics and Mathematics Education 2023, Postgraduate Institute of Sci- ence (PGIS), University of Peradeniya, Sri Lanka.
  • Somathilake L.W. , A Mathematical model to investigate the effects of Quarantine and Isolation on the spread of COVID-19, International Conference on Mathematics and Mathematics Education, University of Peradeniya, Sri Lanka, ICMME 2021 8th and 9th October 2021.
  • Somathilake L. W., Fernando M. C. S., Optimal quarantine and isolation strategies for COVID-19 based on a mathematical model, 17th Academic Sessions, University of Ruhuna, 2020.
  • Somathilake L.W. An efficient numerical scheme for time fractional reaction diffusion equations, 6th Ruhuna International Science & Technology Conference, Sri Lanka, RISTCON 2019
  • Somathilake L.W. A new numerical method (decreasing random memory method) for fractional ordinary differential equations, Wayamba University International Conference, Sri Lanka, 24-25 August 2018
  • Somathilake L.W. and Burrage K. Numerical Solutions of a time fractional reaction-diffusion model for pattern formation in coral reefs, 5th Ruhuna International Science & Technology Conference, Sri Lanka, RISTCON 2018
  • Somathilake L.W. and Burrage K. Numerical solutions of a fractional Reaction- Diffusion model for formation of coral patterns, Postgraduate Institute of Science Congress, University of Peradeniya, Sri Lanka, PGIS RESCON 2017, 8-9 September, 2017
  • Somathilake L.W., Wedagedera J.R. (2011) Numerical solutions of a Math-ematical Model of pattern formation in coral reefs, Presented at 8th Science Symposium, Faculty of Science, University of Ruhuna, Sri Lanka, December 21, 2011
  • Somathilake L.W., Peiris J. M. J. J., Shanthidevi K. C. N., Abeyratne M. K. (2004) On some mathematical models arising in chemical kinetics, Abstract presented at the SLAAS (Sri Lanka Association for the Advancement of Science), annual session, December 2004.
  • Somathilake L.W., Peiris J. M. J. J., Shanthidevi K. C. N., Abeyratne M. K. (2004) Pattern formation by Reaction Diffusion Systems, Abstract presented at the SLAAS (Sri Lanka Association for the Advancement of Science) annual session, December 2004
  • Somathilake L.W., Peiris J. M. J. J., Shanthidevi K. C. N., Abeyratne M. K. (2004) Numerical solutions of some mathematical models arising in population dynamics, Abstract presented at the SLAAS (Sri Lanka Association for the Advancement of Science) annual session, December 2004
  • Acting Head - Department of Mathematics, Faculty of Science, University of Ruhuna, Matara - from 2016-03-28 to 2016-06-25
  • A Chief Examiner for the Combined Mathematics in G.C.E. (A/L) Examination. - Department of Examinations
  • Member of the organizing Committee of the 10th Ruhuna International Science &Technology Conference (RISTCON 23) - 2023 - Faculty of Science, University of Ruhuna, Sri Lanka.
  • Member of the organizing committee of the 1st Ruhuna International Science and Technology Conference, 2014 - University of Ruhuna
  • Member of the organizing committee of the 3rd Invention and Innovation Exhibition 2015 - University of Ruhuna