He's homotopy perturbation method for solving the fractional KdV‐Burgers‐Kuramoto equation
International Journal of Numerical Methods for Heat & Fluid Flow
ISSN: 0961-5539
Article publication date: 17 May 2011
Abstract
Purpose
The purpose of this paper is to directly extend the homotopy perturbation method (HPM) that was developed for integer‐order differential equation, to derive explicit and numerical solutions of the fractional KdV‐Burgers‐Kuramoto equation.
Design/methodology/approach
The authors used Maple Package to calculate the functions obtained from the HPM.
Findings
The fractional derivatives are described in the Caputo sense. HPM performs extremely well in terms of accuracy, efficiently, simplicity, stability and reliability.
Originality/value
The paper describes how the HPM has been successfully applied to find the solution of fractional KdV‐Burgers‐Kuramoto equation.
Keywords
Citation
Anıl Sezer, S., Yıldırım, A. and Tauseef Mohyud‐Din, S. (2011), "He's homotopy perturbation method for solving the fractional KdV‐Burgers‐Kuramoto equation", International Journal of Numerical Methods for Heat & Fluid Flow, Vol. 21 No. 4, pp. 448-458. https://doi.org/10.1108/09615531111123119
Publisher
:Emerald Group Publishing Limited
Copyright © 2011, Emerald Group Publishing Limited