Formulation and Application of Optimal Homotopty Asymptotic Method to Coupled Differential - Difference Equations

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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Autores principales: Ullah, Hakeem, Islam, Saeed, Khan, Ilyas, Shafie, Sharidan, Fiza, Mehreen
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Public Library of Science 2015
Materias:
Research Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4397094/
https://www.ncbi.nlm.nih.gov/pubmed/25874457
http://dx.doi.org/10.1371/journal.pone.0120127
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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
collection PubMed
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.
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spelling pubmed-43970942015-04-21 Formulation and Application of Optimal Homotopty Asymptotic Method to Coupled Differential - Difference Equations Ullah, Hakeem Islam, Saeed Khan, Ilyas Shafie, Sharidan Fiza, Mehreen PLoS One Research Article 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 2015-04-14 /pmc/articles/PMC4397094/ /pubmed/25874457 http://dx.doi.org/10.1371/journal.pone.0120127 Text en © 2015 Ullah et al http://creativecommons.org/licenses/by/4.0/ This is an open-access article distributed under the terms of the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are properly credited.
spellingShingle Research Article
Ullah, Hakeem
Islam, Saeed
Khan, Ilyas
Shafie, Sharidan
Fiza, Mehreen
Formulation and Application of Optimal Homotopty Asymptotic Method to Coupled Differential - Difference Equations
title Formulation and Application of Optimal Homotopty Asymptotic Method to Coupled Differential - Difference Equations
title_full Formulation and Application of Optimal Homotopty Asymptotic Method to Coupled Differential - Difference Equations
title_fullStr Formulation and Application of Optimal Homotopty Asymptotic Method to Coupled Differential - Difference Equations
title_full_unstemmed Formulation and Application of Optimal Homotopty Asymptotic Method to Coupled Differential - Difference Equations
title_short Formulation and Application of Optimal Homotopty Asymptotic Method to Coupled Differential - Difference Equations
title_sort formulation and application of optimal homotopty asymptotic method to coupled differential - difference equations
topic Research Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4397094/
https://www.ncbi.nlm.nih.gov/pubmed/25874457
http://dx.doi.org/10.1371/journal.pone.0120127
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