A computational method for solving a class of non-linear singularly perturbed Volterra Integro-differential boundary-value problems

Abstract

In this paper, a computational method is presented for solving a class of singularly perturbed Volterra integro-differential boundary-value problems with a boundary layer at one end. The implemented technique consists of solving two problems which are a reduced problem and a boundary layer correction problem. The Pade' approximation technique is used to satisfy the conditions at infinity. Theoretical and numerical results are presented.