Dr.T Mathanarajan

Dr.T-Mathanarajan

Dr.T.Mathanaranjan

B.Sc. [Hons] (Jaffna), Ph.D(Peradeniya).

  • Senior Lecturer in Mathematics
  • mathanaranjan@gmail.com
  • 0776093078
Google Scholar

  • Ph.D. in Mathematics (University of Peradeniya).

  • B.Sc. (Hons) in Mathematics (University of Jaffna, Sri Lanka).

  • Member of the Science Faculty Research Committee (SFRC) – 2020.
  • Academic  Counselor, Faculty of Science – 2020.
  • Student Counselor, Faculty of Science -2020.
  • Secretary of the  Jaffna Science Association (JSA)  Section A -2020.
  • Member of the faculty level Curriculum Development, Revision and Monitoring Committee (CDRMC) – 2019.
  • Member of Editorial board of “Jaffna University International Research Conference (JUSE)”– 2016.
  • Association of Scientists, Developers and Faculties (ASDF) awards for the Best Scientific Researcher–2014.
  • Erasmus Mundus Scholarship for student exchange programme 2013/2014- City, University of London.
  • Merit NRC awards for Scientific Publication 2013.
  • Presidents awards for Scientific Publication 2012.
  • Sir ArunachalamMahadheva Memorial Prize, Best performance in Honors Degree Examination in Mathematics, University of Jaffna, Sri Lanka (2008).

  • Coordinator of Special degree programme in Mathematics, Department of Mathematics and Statistics, University of Jaffna, 2019.

  • Seminar on Combined mathematics for G.C.E (A/L) Teacher which was conducted by the Provincial department of Education, North Province, 2019.

Undergraduate Teaching (Department of Mathematics & Statistics).

  • Ordinary differential Equations.
  • Mathematical Methods.
  • Linear Programming.
  • Classical Mechanics.
  • Complex Analysis.
  • Continuum Mechanics.
  • Quantum Mechanics.

Undergraduate Teaching (Department of Computer Science).

  • Mathematics for Computing II.
  • Mathematics for Computing III.

Research publications in refereed journals.

  • T. Mathanaranjan,  Soliton Solutions of Deformed Nonlinear Schrödinger Equations Using Ansatz Method. Int. J. Appl. Comput. Math 7, 159 (2021).
  • T.Mathanaranjan, D.Vijayakumar Laplace Decomposition Method for Time-Fractional Fornberg-Whitham Type Equations. Journal of Applied Mathematics and Physics 9 (02), 260 (2021).
  • T.Mathanaranjan, Solitary wave solutions of the Camassa-Holm-Nonlinear Schrdinger Equation, Results in Physics, 19, 103549 (2020).
  • T.Mathanaranjan, K. Himalini, Analytical solutions of the time-fractional non-linear

    Schrodinger equation with zero and non zero trapping potential through the Sumudu Decom-position method, Sci. Univ. Kelaniya 12, 21-33 (2019).

  • S.Dey, A.Fring, T.Mathanaranjan, Spontaneous PT -symmetry breaking for systems of noncommutative Euclidean Lie algebraic type, Int. J. Theor. Phys. 54 4027-4033 (2015). 

  • A.Nanayakkara, T.Mathanaranjan, Effects of complex parameters on classical trajectories of Hamiltonian systems, Pramana: 82(6), 973-983 (2014). 

  • S. Dey, A. Fring and T. Mathanaranjan, Non-Hermitian systems of Euclidean Lie algebraic type with real energy spectra, Ann. Phys. 346, 28-41 (2014).

  • T.Mathanaranjan, A.Nanayakkara , Extending the range of validity for Asymptotic Energy Expansion method by Pade approximation, Reports on Mathematical Physics 73 (3), 383-392 (2014).

  • A Nanayakkara, T Mathanaranjan, Explicit energy expansion for general odd-degree polynomial potentials, Physica Scripta 88 (5), 055004 (2013).

  • A.Nanayakkara, T.Mathanaranjan, Isospectral hermitian counterpart of complex nonhermitian Hamiltonian P^2+gx^4+ax^2. Canadian Journal of Physics 91 (8), 599-603 (2013).

  • A.Nanayakkara, T.Mathanaranjan, Equivalent Hermitian Hamiltonians for some non-Hermitian Hamiltonians Physical Review A 86 (2), 022106 (2012).

Peer reviewed Presentations at National/International Conferences/Symposia.

Published as full papers.

  • Mathanaranjan.T, Dayalini.V, “The First Integral Method to the Improved Perturbed Nonlinear Schrodinger’s Equation with the Dual power Nonlionearty”, Proceedings Applied Science, Business & Industrial Research Symposium 2019, Wayamba University of Sri Lanka, pg.243-248.
  • K.Himalini , M.T.F.Hasna, T.Mathanaranjan ,  “Solution for Space-time fractional non-linear Schrodinger equation by Laplace decomposition method”, Proceedings of the 4th Jaffna University International Research Conference  JUICe 2018 Pg 584-587.

  • T.Mathanaranjan, K.Himalini, “Non-Hermitian Hamiltonians of Sl(2,₵) Lie algebraic type and similarity transformations”, Proceeding of the International Conference on Computational Simulation, University of Colombo, ICCMS-2017, Pg. 44-48.

Published in abstract form.

  • Dayalini.V Mathanaranjan.T,  “The exact solutions to the generalized derivative nonlinear Scrodinger’s equation by using (𝑮 ′/𝑮)-expansion method”, Proceedings of the Postgraduate Institute of Science Research Congress, Sri Lanka: 06 th Nov. 2020.
  • Mathanaranjan.T,Thushanthani.R, “Sumudu decomposition method for solving the “Camassa Holm-Nonlinear Schrodinger Equation”, Proceedings of the 7th International Science and Technology Conference 2020.University of Ruhunu. pg 65.
  • Mathanaranjan.T, Dayalini.V, “Exact travelling wave solutions of nonlinear Schrodinger’s Equation with dual power nonlinearty”, Proceedings of the International Conference on Mathematics and Mathematics Education 2019. University of Peradiniya.Pg.25.
  • Mathanaranjan.T,Thushanthani.R, Himalini.K. “An analytical approach to the Camassa Holm-nonlinear Schrodinger type equations by using the Laplace decomposition method”, Proceedings of the PGIS Research Congress 2019, University of Peradeniya.pg.37.
  • T.Mathanaranjan, K.Himalini, “Approximate solutions of time fractional Fornberg-Whitham type equations by using the Laplace decomposition method”, Proceeding of the 5th Ruhuna International Science and Technology Conference RISTCON 2018, Pg.58.
  • T.Mathanaranjan, K.Himalini, “Approximate analytical solution to the time-fractional non-linear Schrodinger equation through the sumudu decomposition method”, Proceeding of the International Research Symposium on Pure and Applied science, University of Kelaniya, 2017, Pg .87.
  • T.Mathanaranjan, K.Himalini, M.T.F.Hasna, “The Laplace Adomian decomposition method for solving the non-linear time-fractional Fornberg-whitham equation”, Proceedings of the Peradeniya University International Research Sessions IPURSE-2017,Pg. 379.
  • T.Mathanaranjan, K.Himalini, “Adomian decomposition method for time-fractional non-linear Schrodinger equation with zero and non- zero trapping potential”, Proceedings of the  2nd International Research Conference Trincomalee campus Eastern University, TRInCo – 2017, Pg. 53.
  • T Mathanaranjan, E.P.L.S. Wickramawardana, “Lie algebraic approach to quasi exactly solvable complex PT-symmetric periodic potential”, Proceedings of the PGIS Research Congress 3, 51 (2016).
  • T. Mathanaranjan, A .Nanayakkara, S P.C, Perera, ‘Euclidean Lie algebra and the associated non-Hermitian Hamiltonians with an anti-linear symmetry”, Proceedings PGIS Research Congress 2, 38 (2015).
  • T. Mathanaranjan, A .Nanayakkara, S P.C, Perera, “Improving the accuracy of eigenvalues determined by Asymptotic Energy Expansion method”, Proceedings of the PGIS Research Congress 1, 101 (2014).

Presented Conference Papers.

  • T.Mathanaranjan, K.Himalini, “Adomian decomposition method for time-fractional non-linear Schrodinger equation with zero and non- zero trapping potential”, Proceedings of the  2nd International Research Conference Trincomalee campus Eastern University, TRInCo – 2017, Pg. 53.
  • T.Mathanaranjan, K.Himalini, “Non-Hermitian Hamiltonians of Sl(2,₵) Lie algebraic type and similarity transformations”, Proceeding of the International Conference on Computational Simulation, University of Colombo, ICCMS-2017, Pg. 44-48.