Special Session 4: Delay and Functional Differential Equations and Applications

Non polynomial spline approach on an adaptive mesh for a weakly coupled system of singularly perturbed delay differential equations of convection diffusion type with large delay

Dinesh Kumar Subramani
Vellore Institute of Technology Vellore
India
Co-Author(s):    Dany Joy
Abstract:
This paper presents a numerical scheme for solving a weakly coupled system of singularly perturbed delay differential equations of convection diffusion type with large delay. The difference scheme on adaptive mesh is accomplished by the method which is based on non polynomial spline approach. An analysis is conducted on the scheme`s stability. The convergence of the proposed scheme is examined. To illustrate the theoretical analysis, several examples are solved for different values of the perturbation parameter, with the computational results displayed in tables are more accurate than the previous results.