Open Access
February 2009 DE-Sinc Method for Second Order Singularly Perturbed Boundary Value Problems
Masatake Mori, Ahniyaz Nurmuhammad, Mayinur Muhammad
Japan J. Indust. Appl. Math. 26(1): 41-63 (February 2009).


In this paper the sinc-Galerkin method, as well as the sinc-collocation method, based on the double exponential transformation (DE transformation) for singularly perturbed boundary value problems of second order ordinary differential equation is considered. A large merit of the present method exists in that we can apply the standard sinc method with only a small care for perturbation parameter. Through several numerical experiments we confirmed higher efficiency of the present method than that of other methods, e.g., sinc method based on the single exponential (SE) transformation, as the number of sampling points increases.


Download Citation

Masatake Mori. Ahniyaz Nurmuhammad. Mayinur Muhammad. "DE-Sinc Method for Second Order Singularly Perturbed Boundary Value Problems." Japan J. Indust. Appl. Math. 26 (1) 41 - 63, February 2009.


Published: February 2009
First available in Project Euclid: 5 June 2009

zbMATH: 1169.65074
MathSciNet: MR2518628

Keywords: DE formula , DE-sinc method , double exponential transformation , singularly perturbed problem

Rights: Copyright © 2009 The Japan Society for Industrial and Applied Mathematics

Vol.26 • No. 1 • February 2009
Back to Top