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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Detalles Bibliográficos
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
Descripción
Sumario: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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