Theory and computation in singular boundary value problems

Kamel Al-Khaled

doi:10.1016/j.chaos.2006.01.047

Theory and computation in singular boundary value problems

Kamel Al-Khaled^*

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

27 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 language	English
Pages (from-to)	678-684
Number of pages	7
Journal	Chaos, Solitons and Fractals
Volume	33
Issue number	2
DOIs	https://doi.org/10.1016/j.chaos.2006.01.047
Publication status	Published - Jul 2007
Externally published	Yes

ASJC Scopus subject areas

Statistical and Nonlinear Physics
Mathematics(all)
Physics and Astronomy(all)
Applied Mathematics

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10.1016/j.chaos.2006.01.047

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title = "Theory and computation in singular boundary value problems",

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.",

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AB - 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.

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Theory and computation in singular boundary value problems

Abstract

ASJC Scopus subject areas

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