title: Formulation and application of optimal homotopty asymptotic method to coupled differential-difference equations.
abstract: 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.
authors: Department of Mathematics, Abdul Wali Khan University Mardan, 23200 Pakistan.
authors: Hakeem
authors: H
authors: Ullah
authors: Department of Mathematics, Abdul Wali Khan University Mardan, 23200 Pakistan.
authors: Saeed
authors: S
authors: Islam
authors: College of Engineering Majmaah University, Majmaah, Saudi Arabia.
authors: Ilyas
authors: I
authors: Khan
authors: Department of Mathematical Sciences, Faculty of Science Universiti Teknologi Malayisa (UTM) 81310 Skudai, Johar Bohru, Johor, Malaysia.
authors: Sharidan
authors: S
authors: Shafie
authors: Department of Mathematics, Abdul Wali Khan University Mardan, 23200 Pakistan.
authors: Mehreen
authors: M
authors: Fiza
mesh_terms: D055641:Mathematical Concepts; D017711:Nonlinear Dynamics