Spline Methods for a Class of Singularly Perturbed Boundary Value Problems

Authors

  • O.M Ogunlaran Department of Mathematics and Statistics, Bowen University, Iwo, Nigeria
  • O.A Taiwo Department of Mathematics, University of Ilorin, Ilorin, Nigeria

DOI:

https://doi.org/10.18488/journal.24/2013.2.1/24.1.1.10

Abstract

In this paper, we develop numerical methods based on a non-polynomial spline function with uniform grid for solving certain class of singularly perturbed boundary value problems. The proposed methods are second-order and fourth-order accurate. Numerical examples are provided to demonstrate the efficiency of the proposed methods.

Keywords:

Non-polynomial Spline, Singular perturbation, Boundary value problems

Published

2013-03-16

How to Cite

Ogunlaran, O., & Taiwo, O. (2013). Spline Methods for a Class of Singularly Perturbed Boundary Value Problems. International Journal of Mathematical Research, 2(1), 1–10. https://doi.org/10.18488/journal.24/2013.2.1/24.1.1.10

Issue

Vol. 2 No. 1 (2013)

Section

Articles