REDUCED DIFFERENTIAL TRANSFORM METHOD FOR COUPLED PROBLEM OF THE SYMMETRIC REGULARIZED LONG WAVE EQUATIONS

Abstract

The aim of this research was to deal with coupled problem of the symmetric
regularized long wave equations. A semi analytical approach namely, the reduced differential
transform method was applied to find the numerical solution of the coupled problem of symmetric
regularized long wave equations. Mainly this technique was formed to compute the approximate
solution in the form of convergent power series with simple and easy calculating procedures. The
numerical results were computed by using Wolfram Mathematica 9.0 which determined the efficacy
and pertinence of the proposed method. The obtained numerical results were compared with the exact
solution which verified the recommended methodology. It was concluded that the approximate results
were very much stable and convergent to the exact solution for the coupled problem of the symmetric
regularized long wave equations.