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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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 |
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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 |
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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 |
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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 |
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Public Library of Science |
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2015 |
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http://eprints.utm.my/id/eprint/55370/ http://dx.doi.org/10.1371/journal.pone.0120127 |
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13.209306 |