Numerical Solution of Singularly Perturbed Differential Difference Equation by Using Cubic B-Spline Method

Ashwaq A. Abboud, Bushra A. Taha

Numerical Solution of Singularly Perturbed Differential Difference Equation by Using Cubic B-Spline Method

Authors

Ashwaq A. Abboud, Bushra A. Taha Department of Mathematics, Faculty of Science, University of Basrah, Iraq Author

Keywords:

Singular perturbation problems, a cubic B-spline method, error analysis, exact solution.

Abstract

In this paper, a cubic B-spline method is applied to solve singularly perturbed differential difference equations with delay as well as advances whose solution exhibits boundary player behavior. Error analysis of the submitted method was discussed. We tested the method with three numerical examples found the presented method can be applicable and accurate.