Solutions of a class of singular second-order IVPs by homotopy-perturbation method

M. S.H. Chowdhury; I. Hashim

doi:10.1016/j.physleta.2007.02.002

Solutions of a class of singular second-order IVPs by homotopy-perturbation method

M. S.H. Chowdhury
, I. Hashim

Universiti Kebangsaan Malaysia

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

139 Scopus citations

Abstract

In this Letter, solutions of a class of singular initial value problems (IVPs) in the second-order ordinary differential equations (ODEs) by homotopy-perturbation method (HPM) are presented. HPM yields solutions in convergent series forms with easily computable terms, and in some cases, yields exact solutions in one iteration. Comparisons with the exact solutions and the solutions obtained by the decomposition method show the potential of HPM in solving singular problems.

Original language	English
Pages (from-to)	439-447
Number of pages	9
Journal	Physics Letters, Section A: General, Atomic and Solid State Physics
Volume	365
Issue number	5-6
DOIs	https://doi.org/10.1016/j.physleta.2007.02.002
State	Published - 11 Jun 2007
Externally published	Yes

Keywords

Homotopy-perturbation method
Lane-Emden equation
Singular IVPs

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10.1016/j.physleta.2007.02.002

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abstract = "In this Letter, solutions of a class of singular initial value problems (IVPs) in the second-order ordinary differential equations (ODEs) by homotopy-perturbation method (HPM) are presented. HPM yields solutions in convergent series forms with easily computable terms, and in some cases, yields exact solutions in one iteration. Comparisons with the exact solutions and the solutions obtained by the decomposition method show the potential of HPM in solving singular problems.",

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AU - Hashim, I.

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N2 - In this Letter, solutions of a class of singular initial value problems (IVPs) in the second-order ordinary differential equations (ODEs) by homotopy-perturbation method (HPM) are presented. HPM yields solutions in convergent series forms with easily computable terms, and in some cases, yields exact solutions in one iteration. Comparisons with the exact solutions and the solutions obtained by the decomposition method show the potential of HPM in solving singular problems.

AB - In this Letter, solutions of a class of singular initial value problems (IVPs) in the second-order ordinary differential equations (ODEs) by homotopy-perturbation method (HPM) are presented. HPM yields solutions in convergent series forms with easily computable terms, and in some cases, yields exact solutions in one iteration. Comparisons with the exact solutions and the solutions obtained by the decomposition method show the potential of HPM in solving singular problems.

KW - Homotopy-perturbation method

KW - Lane-Emden equation

KW - Singular IVPs

UR - https://www.scopus.com/pages/publications/34247347840

U2 - 10.1016/j.physleta.2007.02.002

DO - 10.1016/j.physleta.2007.02.002

M3 - Article

AN - SCOPUS:34247347840

SN - 0375-9601

VL - 365

SP - 439

EP - 447

JO - Physics Letters, Section A: General, Atomic and Solid State Physics

JF - Physics Letters, Section A: General, Atomic and Solid State Physics

IS - 5-6

ER -

Solutions of a class of singular second-order IVPs by homotopy-perturbation method

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Keywords

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