“booster method” for singularly perturbed robin problems-II

Abstract

Singularly perturbed Robin problems are considered in this paper. In order to get an improved numerical solution to these problems, a computational method (“Booster Method”) is suggested. In this method, an asymptotic approximation is incorporated into a finite difference scheme to improve the numerical solution. Error estimates are proposed when implemented in known difference schemes. Numerical examples are presented to illustrate the present method.

Keywords:

• Singularly perturbed Robin problems
• Boundary layer
• Asymptotic approximation
• Exponentially fitted difference scheme
• Numerical solution of differential equations

C.R. Categories:

• G.1.7