The Department is building on its existing research strengths and commitments to interdisciplinary working. We solve real-world problems through a huge network of collaborations. The pioneering projects earned the prestige in the Department are on Mathematical Modeling, Optimal Control, Production Inventory Control, Logistics & Supply Chain Management , Optimization, Graph Theory, Dynamical Systems, Statistical Analysis, Functional Analysis.
Ongoing Postgraduate Research
- Use of Cartesian coordinate Geometry in solving 3-dimentional Cutting Packing Problem
Supervisors : Prof. Daundasekera
Co-supervisors : Prof. A.A.I. Perera
Student : Ms. W.N.P. Rodrigo
- A Multi-source Multi-destination Integrated Production Inventory control Model and its Solution Technique
Supervisors : Dr. Z.A.M.S. Juman
Student : Mr. Nawfan - Generalization of Hadamard Matrix in Graph Theory
Supervisors : Prof. A.A.I. Perera
Student : Ms. W.V. Nishadi
- Another look at the transportation problem with fixed supplies and demands
Supervisors : Dr. Z.A.M.S. Juman
Student : Mr. Gajendran - Production-distribution scheduling under multi-supplier multi-buyer case
Supervisors : Dr. Z.A.M.S. Juman
Student : Mr. Chaturanga
Ongoing Undergraduate Projects
- A Dynamical Programming approach to solve a transportation problem with varying supplies and demands
Student: Ms. N. Hamna
Supervisor(s): Dr. Z.A.M.S. Juman - A new algorithm to find the minimum of a convex function using integration
Student: Mr. H.S.I. Kariyawasam
Supervisor(s): Dr. Z.A.M.S. Juman - Factorization of Complete Bipartite Graphs
Student: Ms. A.A.N.S. Amarasinghe
Supervisor(s): Prof. A.A.I. Perera - Factorization of Complete Graphs
Student: Ms. G. Mathanki
Supervisor(s): Prof. A.A.I. Perera - Performance Compression of initial solution providers of the transportation Algorithm
Student: Mr. S.L. Musekkeer
Supervisor(s): Dr. Z.A.M.S. Juman
Recent Research Publications
- Method of directly defining the inverse mapping for nonlinear fuzzy heat-like partial differential equations
Publication : Ceylon Journal of Science
Year : 2024
Members : C. W. Sahabandu, M. Dewasurendra
- Modeling and semi-analytical solution for immiscible and miscible fingers formation during enhanced oil recovery
Publication : International Journal of Modelling and Simulation(Taylor and Francis)
Year : 2023
Members : CW Sahabandu, Z Juman, K Vajravelu, B Spangler, M Dewasurendra
- Method of Directly Defining the Inverse Mapping for Nonlinear Ordinary and Partial Fractional-Order Differential Equations
Publication : International Conference on Mathematics and Computing (Springer Nature)
Year : 2022
Members : D Karunarathna, M Dewasurendra
- A Method of Directly Defining the inverse Mapping for a nonlinear partial differential equation and for systems of nonlinear partial differential equations
Publication : Computational and Applied Mathematics ( Springer Link)
Year : 2021
Members : C. W. Sahabandu, D. Karunarathna, P. Sewvandi, Z. A. M. S. Juman, M. Dewasurendra, K. Vajravelu - Semi-analytical method for propagation of harmonic waves in nonlinear magneto-thermo-elasticity
Publication : Computers & Mathematics with Applications (ELSEVIER)
Year : 2021
Members : C. W. Sahabandu, M. Dewasurendra, Z. A. M. S. Juman, K. Vajravelu, Ali J. Chamkha - Parabolically induced Banach space representations for p-adic groups
Publication : MATHEMATICAL COMMUNICATIONS
Year : 2021
Members : A.M.C.U.M. Athapattu,
- Consecutive Cyclic k- Prime Labeling of a Ladder Graph and its Application to Crab Graph
Publication : IRE Journals
Year : 2020
Members : M.D.M.C.P. Weerarathne, D.M.T.B. Dissanayake, W.V. Nishadi, K.D.E. Dhananjaya, A.A.I. Perera - A Method of Directly Defining the inverse Mapping for a HIV infection of CD4+ T-cells model
Publication : Applied Mathematics and Nonlinear Sciences (Sciendo)
Year : 2020
Members : M. Dewasurendra, Y. Zhang, N. Boyette, I. Islam, K. Vajravelu, - Generalized Hadamard Matrices and 2-Factorization of Complete Graphs
Publication : Asian Research Journal of Mathematics
Year : 2020
Members : W.V. Nishadi, A.A.I. Perera - Generalized Hadamard Matrices and Generalized Hadamard Graphs
Publication : Journal of Advance in Mathematics and Computer Science
Year : 2020
Members : W.V. Nishadi, A.A.I. Perera - Mathematical modeling of Spread of COVID – 19 in
Sri Lanka
Publication : Postgraduate Institute of Science Research Congress
Year : 2020
Members : D. M. N. K. Dissanayaka and T. H. K. R. De Silva - On Construction of Hadamard Matrices
Publication : IRE Journals
Year : 2020
Members : W.V. Nishadi, A.A.I. Perera