Analytical approach to Boussinesq equation with space- and time-fractional derivatives
Article first published online: 23 MAR 2010
Copyright © 2010 John Wiley & Sons, Ltd.
International Journal for Numerical Methods in Fluids
Volume 66, Issue 10, pages 1315–1324, August 2011
How to Cite
Yıldırım, A., Sezer, S. A. and Kaplan, Y. (2011), Analytical approach to Boussinesq equation with space- and time-fractional derivatives. Int. J. Numer. Meth. Fluids, 66: 1315–1324. doi: 10.1002/fld.2315
- Issue published online: 23 MAR 2010
- Article first published online: 23 MAR 2010
- Manuscript Accepted: 7 FEB 2010
- Manuscript Revised: 3 FEB 2010
- Manuscript Received: 15 NOV 2009
- homotopy perturbation method;
- fractional Boussinesq equation;
- Caputo sense
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.