Formulation and Application of Optimal Homotopty Asymptotic Method to Coupled Differential - Difference Equations
Hakeem UllahDepartment of Mathematics, Abdul Wali Khan University Mardan, 23200 PakistanSaeed IslamDepartment of Mathematics, Abdul Wali Khan University Mardan, 23200 PakistanIlyas KhanCollege of Engineering Majmaah University, Majmaah, Saudi ArabiaSharidan ShafieDepartment of Mathematical Sciences, Faculty of Science Universiti Teknologi Malayisa (UTM) 81310 Skudai, Johar Bohru, Johor, MalaysiaMehreen FizaDepartment of Mathematics, Abdul Wali Khan University Mardan, 23200 Pakistan
2015en
ABI
Аннотация
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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