M. El-Gamel and J. Cannon, “On the Solution of Second Order Singularly-Perturbed Boundary Value Problem by the Sinc-Galerkin Method,” Zeitschrift für Angewandte Mathematik und Physik (ZAMP), Vol. 56, No. 1, 2005, pp. 45-58. doi:10.1007/s00033-004-3002-6

has been cited by the following article:

• TITLE: Sinc-Collocation Method for Solving Linear and Nonlinear System of Second-Order Boundary Value Problems

  AUTHORS: Mohamed El-Gamel

  KEYWORDS: Sinc Function; Collocation Method; System; Numerical Solution

  JOURNAL NAME: Applied Mathematics, Vol.3 No.11, November 20, 2012

  ABSTRACT: Sinc methods are now recognized as an efficient numerical method for problems whose solutions may have singularities, or infinite domains, or boundary layers. This work deals with the sinc-collocation method for solving linear and nonlinear system of second order differential equation. The method is then tested on linear and nonlinear examples and a comparison with B-spline method is made. It is shown that the sinc-collocation method yields better results.