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...
Saved in:
Main Authors: | , |
---|---|
Format: | Article |
Language: | English |
Published: |
Elsevier, Inc.
2009
|
Subjects: | |
Online Access: | http://irep.iium.edu.my/6640/1/Application_of_homotopy-perturbation_method_to_Klein%E2%80%93Gordon_and_sine-Gordon_equations.pdf http://irep.iium.edu.my/6640/ http://www.elsevier.com/locate/chaos |
Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
Institution: | Universiti Islam Antarabangsa Malaysia |
Language: | English |
id |
my.iium.irep.6640 |
---|---|
record_format |
dspace |
spelling |
my.iium.irep.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 REM 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 |
institution |
Universiti Islam Antarabangsa Malaysia |
building |
IIUM Library |
collection |
Institutional Repository |
continent |
Asia |
country |
Malaysia |
content_provider |
International Islamic University Malaysia |
content_source |
IIUM Repository (IREP) |
url_provider |
http://irep.iium.edu.my/ |
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/6640/1/Application_of_homotopy-perturbation_method_to_Klein%E2%80%93Gordon_and_sine-Gordon_equations.pdf http://irep.iium.edu.my/6640/ http://www.elsevier.com/locate/chaos |
_version_ |
1643605779574423552 |