Physica Scripta, Volume (77), No (1), Year (2008-1) , Pages (55004-55004)

Title : ( Application of the homotopy perturbation method to linear and nonlinear 4th-order boundary value problems )

Authors: Ehsan Roohi , Faezeh Rasi Marzabadi , Yagoub Farjami ,

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Abstract

In this study, we applied the homotopy perturbation (HP) method for solving linear and nonlinear fourth-order boundary value problems. The analytical results of the boundary value problems have been obtained in terms of a convergent series with easily computable components. Comparisons between the results of the HP method and the analytical solution showed that this method gives very precise results with a few terms. In the implied HP method, some unknown parameters in the initial guess are introduced, which are identified after applying boundary conditions. This improvement results in higher accuracy.

Keywords

Homotopy
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@article{paperid:1021222,
author = {Roohi, Ehsan and Faezeh Rasi Marzabadi and Yagoub Farjami},
title = {Application of the homotopy perturbation method to linear and nonlinear 4th-order boundary value problems},
journal = {Physica Scripta},
year = {2008},
volume = {77},
number = {1},
month = {January},
issn = {0031-8949},
pages = {55004--55004},
numpages = {0},
keywords = {Homotopy},
}

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%0 Journal Article
%T Application of the homotopy perturbation method to linear and nonlinear 4th-order boundary value problems
%A Roohi, Ehsan
%A Faezeh Rasi Marzabadi
%A Yagoub Farjami
%J Physica Scripta
%@ 0031-8949
%D 2008

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