A fitted numerical method for singularly perturbed integro differential equations with delay

Abstract

This study deals with the singularly perturbed initial value problems for a quasilinear first-order integrodifferential equations with delay. A numerical method is generated on a grid that is constructed adaptively from a knowledge of the exact solution, which involves appropriate piecewise-uniform mesh on each time subinterval. An error analysis shows that the discrete solutions are uniformly convergent with respect to the perturbation parameter. The parameter uniform convergence is confirmed by numerical computations.