Approximate Solution of Kuramoto-Sivashinsky Equation Using Reduced Differential Transform Method

TL;DR

This paper presents an effective and simple reduced differential transform method to obtain approximate solutions for the Kuramoto-Sivashinsky equation, demonstrating its accuracy through comparison with exact solutions.

Contribution

The paper introduces a novel application of the reduced differential transform method to solve the Kuramoto-Sivashinsky equation approximately.

Findings

The method provides accurate numerical solutions.

Comparison shows high agreement with exact solutions.

The approach is simple and effective for this class of equations.

Abstract

In this study, approximate solution of Kuramoto-Sivashinsky Equation, by the reduced differential transform method, are presented. We apply this method to an example. Thus, we have obtained numerical solution Kuramoto-Sivashinsky equation. Comparisons are made between the exact solution and the reduced differential transform method. The results show that this method is very effective and simple.