Direct solutions of nth-order IVPs by homotopy-perturbation method

M. S.H. Chowdhury; I. Hashim

doi:10.1080/00207160802172224

Direct solutions of nth-order IVPs by homotopy-perturbation method

M. S.H. Chowdhury
, I. Hashim

International Islamic University Malaysia
Universiti Kebangsaan Malaysia

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

6 Scopus citations

Abstract

In this paper, a class of linear and nonlinear nth-order initial value problems (IVPs) is considered. The solutions of these IVPs are obtained by the homotopy-perturbation method (HPM). The HPM can be considered as one of the new methods belonging to the general classification of perturbation methods. Generally, the HPM deals with exact solvers for linear differential equations and approximative solvers for nonlinear equations. Several test cases are chosen to demonstrate the efficiency of HPM.

Original language	English
Pages (from-to)	756-762
Number of pages	7
Journal	International Journal of Computer Mathematics
Volume	87
Issue number	4
DOIs	https://doi.org/10.1080/00207160802172224
State	Published - Mar 2010
Externally published	Yes

Keywords

Homotopy-perturbation method
Initial value problems
Series solution

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10.1080/00207160802172224

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abstract = "In this paper, a class of linear and nonlinear nth-order initial value problems (IVPs) is considered. The solutions of these IVPs are obtained by the homotopy-perturbation method (HPM). The HPM can be considered as one of the new methods belonging to the general classification of perturbation methods. Generally, the HPM deals with exact solvers for linear differential equations and approximative solvers for nonlinear equations. Several test cases are chosen to demonstrate the efficiency of HPM.",

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AB - In this paper, a class of linear and nonlinear nth-order initial value problems (IVPs) is considered. The solutions of these IVPs are obtained by the homotopy-perturbation method (HPM). The HPM can be considered as one of the new methods belonging to the general classification of perturbation methods. Generally, the HPM deals with exact solvers for linear differential equations and approximative solvers for nonlinear equations. Several test cases are chosen to demonstrate the efficiency of HPM.

KW - Homotopy-perturbation method

KW - Initial value problems

KW - Series solution

UR - https://www.scopus.com/pages/publications/77951133593

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DO - 10.1080/00207160802172224

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JF - International Journal of Computer Mathematics

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ER -

Direct solutions of nth-order IVPs by homotopy-perturbation method

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Keywords

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