Approximate solutions of coupled Ramani equation by using RDTM with compared DTM and exact solutions

Abstract

In this paper, we present a new approximate solutions of famous coupled Ramani Equation. In order to obtain the solution, we use the semi-analytical methods differential transform method (DTM) and reduced form of DTM called reduced differential transform method (RDTM). We compare the RDTM solutions with exact solution and DTM. Numerical results show clearly that DTM and RDTM are very effective and also provide very accurate solutions. Also, one can conclude that RDTM is used easier than DTM and converges faster than the DTM for these kind of problems.