Numerical Solution of a Singularly - Perturbed Boundary-Value Problems by Using A Non-Polynomial Spline (1206.2442v1)

Abstract: We consider a non-polynomial cubic spline to develop the classes of methods for the numerical solution of singularly perturbed two-point boundary value problems. The proposed methods are second 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.