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
Supervisors: Dr. Z.A.M.S. Juman
Student: Ms. N. Hamna - A new algorithm to find the minimum of a convex function using integration
Supervisors: Dr. Z.A.M.S. Juman
Student: Mr. H.S.I. Kariyawasam - Factorization of Complete Bipartite Graphs
Supervisors: Prof. A.A.I. Perera
Student: Ms. A.A.N.S. Amarasinghe - Factorization of Complete Graphs
Supervisors: Prof. A.A.I. Perera
Student: Ms. G. Mathanki - Performance Compression of initial solution providers of the transportation Algorithm
Supervisors: Dr. Z.A.M.S. Juman
Student: Mr. S.L. Musekkeer
Recent Research Publications
- 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
- 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
- Construction of Magic Squares of Orders q^n, where q is odd and n ∈ N
Publication : Elixir International Journal
Year : 2019
Members : A.C.G. Perera, W.V. Nishadi - A Method of Directly Defining the inverse Mapping (MDDiM) for solutions of non-linear coupled systems arising in SIR and SIS epidemic models
Publication : Communications in Numerical Analysis
Year : 2019
Members : M. Dewasurendra, Y. Zhang, K. Vajravelu, - A Bernstein type inequality for the Askey-Wilson operator
Publication : Journal of Approximation Theory (Elsevier)
Year : 2019
Members : P. G. R. S. Ranasinghe, Xin Li - A contemporary recapitulation of major findings on vehicle routing problems: models and methodologies
Publication : International Journal of Recent Technology and Engineering (IJRTE) (SCOPUS-Cited Publication)
Year : 2019
Members : D.G.N.D. Jayarathna, G.H.J. Lanel, Z.A.M.S. Juman - A symmetric and a transposition cipher using the Euler’s totient function
Publication : Ceylon Journal of Science
Year : 2019
Members : P. G. R. S. Ranasinghe, A. P. Madushani - An efficient alternative approach to solve a transportation problem
Publication : Ceylon Journal of Science
Year : 2019
Members : Z.A.M.S. Juman and N.G.S.A. Nawarathne - An improved method to find an initial feasible solution to a transportation problem
Publication : Proceeding of the Post Graduate Institute of Science Research Congress, University of Peradeniya, Sri Lanka
Year : 2019
Members : Z.A.M.S. Juman and N.G.S.A. Nawarathne - Dorin Dutkay, Parseval Frames of Piecewise constant functions
Publication : Journal of Operators and Matrices
Year : 2019
Members : P. G. R. S. Ranasinghe - Estimation of the age-structured
female population of Sri Lanka using Leslie Matrix
Publication : Postgraduate Institute of Science Research Congress
Year : 2019
Members : G. K. S. Hansika, D. M. N. K. Dissanayaka and T. H. K. R. De Silva - Modeling of an Optimal Outbound Logistics System (A Contemporary Review Study on effects of Vehicle Routing, Facility Location and Locational Routing Problems)
Publication : International Journal of Humanities and Social Science Invention (IJHSSI)
Year : 2019
Members : D.G.N.D. Jayarathna, G.H.J. Lanel, Z.A.M.S. Juman - Modeling of an optimal transportation system (a contemporary review study on vehicle routing problems)
Publication : Fourth International Conference on Research and Modern Innovations in Engineering & Technology (ICRMIET), India
Year : 2019
Members : D.G.N.D. Jayarathna, G.H.J. Lanel, Z.A.M.S. Juman - Prime labeling of a complete tripartite graphs of the form K_{1,m,n}
Publication : Elixir International Journal
Year : 2019
Members : P. G. R. S. Ranasinghe, R. A. S. T. Abeysekara, D. M. T. B. Dissanayake, K. D. E. Dhananjaya, A. A. I. Perera - Splitting Algorithm for attaining the near optimal upper bound on the minimal total cost to the small sized TPVDS
Publication : Proceeding of the Post Graduate Institute of Science Research Congress, University of Peradeniya, Sri Lanka
Year : 2019
Members : N.Hamna, Z.A.M.S. Juman, and M.I.M. Waseem
- A Recurrence Relation to Construct 1- Factors of Complete Graphs
Publication : Elixir International Journal
Year : 2018
Members : W.V. Nishadi, K.D.E. Dhananjaya, A.A.I. Perera, P. Gunathilake - Formation of Complete Bipartite Graphs Using Quaternary Complex Hadamard Matrices
Publication : International Journal of Precious Engineering Research and Applications (IJPERA)
Year : 2018
Members : W.V. Nishadi, K.D.E. Dhananjaya, A.A.I. Perera, P. Gunathilake - Askey-Wilson
Operator on Entire Functions of Exponential Type
Publication : Proceedings of the American Mathematical Society
Year : 2018
Members : Xin Li - A Method of Directly Defining the Inverse Mapping for Fourth Order Non-Linear Systems Arising in Combined Free and Forced Convection in a Second Grade Fluid
Publication : Applied Mathematics and Computation ( Elsevier)
Year : 2018
Members : M. Dewasurendra, M. Baxter, K. Vajravelu, - A Method of Directly Defining the inverse Mapping for Solutions of Coupled Systems of Nonlinear Differential Equations
Publication : Numerical Algorithm ( Springer)
Year : 2018
Members : M. Baxter, M. Dewasurendra, K. Vajravelu, - Effect of second-order slip and drag reduction in boundary layer flows
Publication : Applied Mathematics and Nonlinear Sciences (Sciendo)
Year : 2018
Members : M. Dewasurendra, J. Benarroch, N. Ossi, Y. Zhang, M. Sammarco, K.V. Prasad, - On the Method of Inverse Mapping for Solutions of Coupled Systems of Nonlinear Differential Equations Arising in Nanofluid Flow, Heat and Mass Transfer
Publication : Applied Mathematics and Nonlinear Sciences(Sciendo)
Year : 2018
Members : M. Dewasurendra, K. Vajravelu - A new method to solve for exact upper bounds for interval transportation problem with uncertain supplies and demands
Publication : 29th European Conference on Operational Research (EURO Valencia)
Year : 2018
Members : KD Silva, Z.A.M.S. Juman - Generation of Strongly Regular Graphs from Quaternary Complex Hadamard Matrices
Publication : Ceylon Journal of Science
Year : 2018
Members : W.V. Nishadi, K.D.E. Dhananjaya, A.A.I. Perera - Mathematical modeling of Spread of Dengue Fever
Publication : Postgraduate Institute of Science Research Congress
Year : 2018
Members : D. M. N. K. Dissanayaka and T. H. K. R. De Silva