Numerical Solution of a Singularly - Perturbed Boundary-Value Problems by Using A Non-Polynomial Spline
Numerical Analysis
2012-06-13 v1
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.
Cite
@article{arxiv.1206.2442,
title = {Numerical Solution of a Singularly - Perturbed Boundary-Value Problems by Using A Non-Polynomial Spline},
author = {Islam Khan and Tariq Aziz},
journal= {arXiv preprint arXiv:1206.2442},
year = {2012}
}
Comments
11 pages, 0 figure; Numerical Solution of Boundary Value Problems for Ordinary Differential Equations, Prentice-Hall, Englewood Cliffs, NJ, 1988