“Booster method” for singularly perturbed robin problems i

Abstract

An improved numerical method is presented for singularly perturbed Robin problems in this paper. In this method (“Booster method”), an asymptotic approximation is incorporated into a finite difference scheme to improve the numerical solution. Error estimates are proposed for the present method. In order to show the efficiency numerical examples are presented.

Keywords:

• Singularly perturbed Robin problems
• Boundary layer
• Asymptotic approximation
• Exponentially fitted difference scheme

AMS Subject Classification:

• 65L10

C.R. Categories:

• G1.7

^∗Address for correspond: Departamento de Ingenieria Matematica, Universidad de Chile, Casilla 170/3 Correo, 3, Santiago, Chile

^∗Address for correspond: Departamento de Ingenieria Matematica, Universidad de Chile, Casilla 170/3 Correo, 3, Santiago, Chile

Notes

^∗Address for correspond: Departamento de Ingenieria Matematica, Universidad de Chile, Casilla 170/3 Correo, 3, Santiago, Chile