He's homotopy perturbation method for solving the fractional KdV‐Burgers‐Kuramoto equation
Makaleler > Tam Makale · 2011
Yazarlar: Sefa Anil SEZER, Ahmet YILDIRIM, Syed Tauseef MOHYUD-DIN
International Journal of Numerical Methods for Heat & Fluid Flow, SCI Expanded İndekslerine Giren Dergi, Uluslararası, Wos, 2011, cilt 21, ss 448-458
DOI: 10.1108/09615531111123119
Özet
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.