Polynomial Based Differential Quadrature for Numerical Solutions of Kuramoto-Sivashinsky Equation

Abstract

In this study, a numerical discrete derivative technique for solutions of Kuramoto-Sivashinksy equation is considered. According to the procedure, differential quadrature algorithm is adapted in space by using Chebyshev polynomials and explicit scheme is constructed to discretize time derivative. Sample problems are presented to support the idea. Numerical solutions are compared with exact solutions and also previous works. It is observed that the numerical solutions are well matched with the exact or existing solutions.