Special Session 4: Delay and Functional Differential Equations and Applications

A fitted numerical technique using a cubic spline in compression for the singularly perturbed Fredholm integro differential equation

RAJAGOPAL S
Research Scholar
India
Co-Author(s):    Dinesh Kumar S
Abstract:
This paper deals with the second-order Fredholm integro differential equations perturbed singularly. Similar problems arise when modelling the spatiotemporal evolution of epidemics mathematically. An fitted difference scheme on a uniform mesh is accomplished by the method based on cubic spline in compression. An analysis is conducted on the scheme`s stability. The convergence of the proposed scheme is examined. The theory is supported numerically by the solutions to several example and are presented in the table.