TY - JOUR
TI - Polynomial based differential quadrature for numerical solutions of Kuramoto-Sivashinsky equation
AU - Yiğit Gülsemay
AU - Bayram Mustafa
JN - Thermal Science
PY - 2019
VL - 23
IS - 11
SP - 129
EP - 137
PT - Article
AB - 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.