Application of homotopy-perturbation method to Klein–Gordon and sine-Gordon equations

Application of homotopy-perturbation method to Klein–Gordon and sine-Gordon equations

In this paper, the homotopy-perturbation method (HPM) is employed to obtain approximate analytical solutions of the Klein–Gordon and sine-Gordon equations. An efficient way of choosing the initial approximation is presented. Comparisons with the exact solutions, the solutions obtained by the Adomi...

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Main Authors: Chowdhury, Md. Sazzad Hossien, Hashim, Ishak
Format: Article
Language:English
Published: Elsevier, Inc. 2009
Subjects:
QA76 Computer software
Online Access:http://irep.iium.edu.my/6640/
http://irep.iium.edu.my/6640/
http://irep.iium.edu.my/6640/1/Application_of_homotopy-perturbation_method_to_Klein%E2%80%93Gordon_and_sine-Gordon_equations.pdf
id iium-6640
recordtype eprints
spelling iium-66402011-11-29T06:13:56Z http://irep.iium.edu.my/6640/ Application of homotopy-perturbation method to Klein–Gordon and sine-Gordon equations Chowdhury, Md. Sazzad Hossien Hashim, Ishak QA76 Computer software In this paper, the homotopy-perturbation method (HPM) is employed to obtain approximate analytical solutions of the Klein–Gordon and sine-Gordon equations. An efficient way of choosing the initial approximation is presented. Comparisons with the exact solutions, the solutions obtained by the Adomian decomposition method (ADM) and the variational iteration method (VIM) show the potential of HPM in solving nonlinear partial differential equations. Elsevier, Inc. 2009 Article PeerReviewed application/pdf en http://irep.iium.edu.my/6640/1/Application_of_homotopy-perturbation_method_to_Klein%E2%80%93Gordon_and_sine-Gordon_equations.pdf Chowdhury, Md. Sazzad Hossien and Hashim, Ishak (2009) Application of homotopy-perturbation method to Klein–Gordon and sine-Gordon equations. Chaos, Solitons and Fractals, 39. pp. 1928-1935. ISSN 0960-0779 http://www.elsevier.com/locate/chaos
repository_type Digital Repository
institution_category Local University
institution International Islamic University Malaysia
building IIUM Repository
collection Online Access
language English
topic QA76 Computer software
spellingShingle QA76 Computer software
Chowdhury, Md. Sazzad Hossien
Hashim, Ishak
Application of homotopy-perturbation method to Klein–Gordon and sine-Gordon equations
description In this paper, the homotopy-perturbation method (HPM) is employed to obtain approximate analytical solutions of the Klein–Gordon and sine-Gordon equations. An efficient way of choosing the initial approximation is presented. Comparisons with the exact solutions, the solutions obtained by the Adomian decomposition method (ADM) and the variational iteration method (VIM) show the potential of HPM in solving nonlinear partial differential equations.
format Article
author Chowdhury, Md. Sazzad Hossien
Hashim, Ishak
author_facet Chowdhury, Md. Sazzad Hossien
Hashim, Ishak
author_sort Chowdhury, Md. Sazzad Hossien
title Application of homotopy-perturbation method to Klein–Gordon and sine-Gordon equations
title_short Application of homotopy-perturbation method to Klein–Gordon and sine-Gordon equations
title_full Application of homotopy-perturbation method to Klein–Gordon and sine-Gordon equations
title_fullStr Application of homotopy-perturbation method to Klein–Gordon and sine-Gordon equations
title_full_unstemmed Application of homotopy-perturbation method to Klein–Gordon and sine-Gordon equations
title_sort application of homotopy-perturbation method to klein–gordon and sine-gordon equations
publisher Elsevier, Inc.
publishDate 2009
url http://irep.iium.edu.my/6640/
http://irep.iium.edu.my/6640/
http://irep.iium.edu.my/6640/1/Application_of_homotopy-perturbation_method_to_Klein%E2%80%93Gordon_and_sine-Gordon_equations.pdf
first_indexed 2023-09-18T20:15:42Z
last_indexed 2023-09-18T20:15:42Z
_version_ 1777407772652994560

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