A Numerical Treatment for Singularly Perturbed Differential Equations With Integral Boundary Condition

Abstract

We consider a uniform finite difference method on Shishkin mesh for a quasilinear first order singularly perturbed boundary value problem (BVP) with integral boundary condition. We prove that the method is first order convergent except for a logarithmic factor, in the discrete maximum norm, independently of the perturbation parameter. The parameter uniform convergence is confirmed by numerical computations. (c) 2006 Elsevier Inc. All rights reserved.