Theory and computation in singular boundary value problems

Kamel Al-Khaled

Research output: Contribution to journalArticle

24 Citations (Scopus)

Abstract

This paper applies the Sinc-Galerkin method and He's homotopy perturbation method to search for approximate solutions of a certain class of singular two-point boundary value problems. The sinc method converges exponentially to the exact solution. A new iterative scheme based on He's homotopy perturbation method is proposed for the discussed problem. A numerical example is given to demonstrate the computational efficiency of the two methods.

Original languageEnglish
Pages (from-to)678-684
Number of pages7
JournalChaos, Solitons and Fractals
Volume33
Issue number2
DOIs
Publication statusPublished - Jul 2007

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Sinc Method
Singular Boundary Value Problem
Homotopy Perturbation Method
boundary value problems
perturbation
Galerkin method
Two-point Boundary Value Problem
Iterative Scheme
Galerkin Method
Computational Efficiency
Approximate Solution
Exact Solution
Converge
Numerical Examples
Demonstrate
Class

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics

Cite this

Theory and computation in singular boundary value problems. / Al-Khaled, Kamel.

In: Chaos, Solitons and Fractals, Vol. 33, No. 2, 07.2007, p. 678-684.

Research output: Contribution to journalArticle

Al-Khaled, Kamel. / Theory and computation in singular boundary value problems. In: Chaos, Solitons and Fractals. 2007 ; Vol. 33, No. 2. pp. 678-684.
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