A new approximate analytical solution of kuramoto-Sivashinsky equation using homotopy analysis method
Applied Mathematics and Information Sciences, cilt.7, sa.1, ss.267-271, 2013 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 7 Sayı: 1
- Basım Tarihi: 2013
- Doi Numarası: 10.12785/amis/070133
- Dergi Adı: Applied Mathematics and Information Sciences
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Sayfa Sayıları: ss.267-271
- Anahtar Kelimeler: Approximate analytical solutions, Homotopy analysis method, Kuramoto-Sivashinsky equation, Maple
- Bilecik Şeyh Edebali Üniversitesi Adresli: Evet
Özet
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, u0(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. © 2013 NSP. Natural Sciences Publishing Cor.