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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Bibliographic Details
Main Authors: Ullah, Hakeem, Islam, Saeed, Khan, Ilyas, Shafie, Sharidan, Fiza, Mehreen
Format: Article
Published: Public Library of Science 2015
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Online Access:http://eprints.utm.my/id/eprint/55370/
http://dx.doi.org/10.1371/journal.pone.0120127
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Summary: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