Approximate Solutions of Coupled Ramani Equation by using RDTM with compared DTM and exact solutions
For researchers solving nonlinear coupled equations, this is an incremental application of existing methods to a specific equation.
The paper applies DTM and RDTM to approximate solutions of the coupled Ramani equation, finding that RDTM is faster and more convergent than DTM, with both methods yielding accurate results compared to exact solutions.
In this paper, we present the new approximate solutions of famous coupled Ramani Equation. In order to obtain the solution, we use the semi-analytic methods differential transform method (DTM) and reduced form of DTM called reduced differential transform method (RDTM). We compare our proposed methods with exact solution and also compare with together. Numerical results show clearly that DTM and RDTM are very effective and also provide very accurate solutions. Additionally, it should be noted that RDTM is applied very easily, fast and more convergent than DTM for these kind of problems.