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.
Highlights
In physical and nonlinear science the differential- difference equations (DDEs) play a vital role in modeling of the complex physical phenomena
The motivation of this paper is to extend Optimal Homotopy Asymptotic Method (OHAM) for the solution of nonlinear coupled differential-difference equations (NCDDEs)
We have proved that OHAM is useful and reliable for the solution of NCDDEs showing its validity and great potential for the solution of NCDDEs phenomenon in science and engineering
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
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