Analytical approach to Boussinesq equation with space‐ and time‐fractional derivatives
Makaleler > Tam Makale · 2010
Yazarlar: Ahmet YILDIRIM, Sefa Anil SEZER, Yasemin KAPLAN
International Journal for Numerical Methods in Fluids, SCI Expanded İndekslerine Giren Dergi, Uluslararası, Wos, 2010, cilt 66, ss 1315-1324
DOI: 10.1002/fld.2315
Özet
Abstract In this paper, the homotopy perturbation method (HPM) is developed to obtain approximate analytical solutions of a fractional Boussinesq equation with initial condition. The fractional derivatives are described in the Caputo sense. Some examples are given and comparisons are made, the comparisons show that the HPM is very effective and convenient and overcomes the difficulty of traditional methods. The numerical results show that the approaches are easy to implement and accurate when applied to space‐ and time‐fractional equations. Copyright © 2010 John Wiley & Sons, Ltd.