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Formulation and application of Optimal Homotopy Asymptotic Method to coupled differential - difference equation

In this paper we applied a new analytic approximate technique Optimal Homotopy Asymptotic Method (OHAM) for treatment of coupled differential- difference equations (DDEs). To see the efficiency and reliability of the method, we consider Relativistic Toda coupled nonlinear differential-difference equ...

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Main Authors: Ullah, Hakeem, Islam, Saeed, Khan, Ilyas, Shafie, Sharidan, Fiza, Mehreen
Format: Article
Published: Public Library of Science 2015
Subjects:
QA Mathematics
Online Access:http://eprints.utm.my/id/eprint/55370/
http://dx.doi.org/10.1371/journal.pone.0120127
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spelling my.utm.553702017-02-15T07:06:55Z http://eprints.utm.my/id/eprint/55370/ Formulation and application of Optimal Homotopy Asymptotic Method to coupled differential - difference equation Ullah, Hakeem Islam, Saeed Khan, Ilyas Shafie, Sharidan Fiza, Mehreen QA Mathematics In this paper we applied a new analytic approximate technique Optimal Homotopy Asymptotic Method (OHAM) for treatment of coupled differential- difference equations (DDEs). To see the efficiency and reliability of the method, we consider Relativistic Toda coupled nonlinear differential-difference equation. It provides us a convenient way to control the convergence of approximate solutions when it is compared with other methods of solution found in the literature. The obtained solutions show that OHAM is effective, simpler, easier and explicit Public Library of Science 2015-04 Article PeerReviewed Ullah, Hakeem and Islam, Saeed and Khan, Ilyas and Shafie, Sharidan and Fiza, Mehreen (2015) Formulation and application of Optimal Homotopy Asymptotic Method to coupled differential - difference equation. PLoS ONE, 10 (4). ISSN 1932-6203 http://dx.doi.org/10.1371/journal.pone.0120127 DOI:10.1371/journal.pone.0120127
institution Universiti Teknologi Malaysia
building UTM Library
collection Institutional Repository
continent Asia
country Malaysia
content_provider Universiti Teknologi Malaysia
content_source UTM Institutional Repository
url_provider http://eprints.utm.my/
topic QA Mathematics
spellingShingle QA Mathematics
Ullah, Hakeem
Islam, Saeed
Khan, Ilyas
Shafie, Sharidan
Fiza, Mehreen
Formulation and application of Optimal Homotopy Asymptotic Method to coupled differential - difference equation
description In this paper we applied a new analytic approximate technique Optimal Homotopy Asymptotic Method (OHAM) for treatment of coupled differential- difference equations (DDEs). To see the efficiency and reliability of the method, we consider Relativistic Toda coupled nonlinear differential-difference equation. It provides us a convenient way to control the convergence of approximate solutions when it is compared with other methods of solution found in the literature. The obtained solutions show that OHAM is effective, simpler, easier and explicit
format Article
author Ullah, Hakeem
Islam, Saeed
Khan, Ilyas
Shafie, Sharidan
Fiza, Mehreen
author_facet Ullah, Hakeem
Islam, Saeed
Khan, Ilyas
Shafie, Sharidan
Fiza, Mehreen
author_sort Ullah, Hakeem
title Formulation and application of Optimal Homotopy Asymptotic Method to coupled differential - difference equation
title_short Formulation and application of Optimal Homotopy Asymptotic Method to coupled differential - difference equation
title_full Formulation and application of Optimal Homotopy Asymptotic Method to coupled differential - difference equation
title_fullStr Formulation and application of Optimal Homotopy Asymptotic Method to coupled differential - difference equation
title_full_unstemmed Formulation and application of Optimal Homotopy Asymptotic Method to coupled differential - difference equation
title_sort formulation and application of optimal homotopy asymptotic method to coupled differential - difference equation
publisher Public Library of Science
publishDate 2015
url http://eprints.utm.my/id/eprint/55370/
http://dx.doi.org/10.1371/journal.pone.0120127
_version_ 1643653776954884096
score 13.209306

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