The parameter-uniform convergence of a fitted operator method on non-uniform meshes for a singularly perturbed initial value problem

Abstract

The parameter-uniform convergence of a fitted operator method for a singularly perturbed differential equation is normally available only for uniform meshes. Here we establish the parameter-uniform convergence of a fitted operator method on a non-uniform mesh for a singularly perturbed initial value problem. This is obtained by a new method of proof.