Non-polynomial spline solution of a singularly-perturbed boundary-value problems

Abstract

In this article, using non-polynomial cubic spline we develop the classes of methods for the numerical solution of singularly perturbed two-point boundary-value problems. The purposed methods are secondorder and fourth-order accurate and applicable to problems both in singular and non-singular cases.Numerical results are given to illustrate the efficiency of our methods and compared with the methods given by different authors. Mathematics Subject Classification: 65L10