A New Approximate Analytical Solution of Kuramoto - Sivashinsky Equation Using Homotopy Analysis Method
APPLIED MATHEMATICS & INFORMATION SCIENCES, vol.7, pp.267-271, 2013 (SCI-Expanded, Scopus)
- Publication Type: Article / Article
- Volume: 7
- Publication Date: 2013
- Doi Number: 10.12785/amis/070133
- Journal Name: APPLIED MATHEMATICS & INFORMATION SCIENCES
- Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Page Numbers: pp.267-271
- Keywords: Kuramoto-Sivashinsky equation, homotopy analysis method, approximate analytical solutions, Maple
- Yıldız Technical University Affiliated: Yes
Abstract
In this paper, Homotopy Analysis Method (HAM) is applied to obtain approximate analytical solution of modified Kuramoto-Sivashinsky (KS) equation. HAM provides a simple way to adjust and control the convergence region of the series solution by introducing several parameters, namely, the auxiliary parameter, h, the auxiliary function, H (x, t), the initial guess, u(0) (x, t) and the auxiliary linear operator, L, as stated in [1]. The obtained results show that HAM yields approximate analytical solutions which are quite close to the exact solution of KS equation, which proves the strength of HAM.