Sinc Methods and Chebyshev Cardinal Functions for Solving Singular Boundary Value Problems

Year 2013, Volume: 1 Issue: 1, 1 - 6, 26.04.2013

Hossein Pourbashash H. Kheiri A. Jodeyri A. Jodeyri Akbarfam S. S. Irandoust-pakchin

Abstract

In this paper we consider boundary value problems with singularity in equation or solution. To solve these problems, we apply single exponential and double exponential transformations of sinc-Galerkin and Chebyshev cardinal functions. Numerical examples highlight efficiency of Chebyshev cardinal functions and sinc-Galerkin method in problems with singularity in equations. It is illustrated that in problems with singular solutions, Chebyshev cardinal functions is not applicable. However, sinc-Galerkin method overcomes to this difficultly.

Keywords

Sinc method; Singular points; Double and single exponential transformation; Chebyshev cardinal functions

Original Research Paper

Abstract

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