He's homotopy perturbation method for solving the fractional KdV‐Burgers‐Kuramoto equation

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.

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