Title of article :
Solutions of Coupled Burger s, Fifth-Order KdV and Kawahara Equations Using Differential Transform Method with Padé Approximant
Author/Authors :
Haq, Sirajul Ghulam Ishaq Khan (GIK) Institute - Faculty of Engineering Sciences, Pakistan , Hussain, Arshad Ghulam Ishaq Khan (GIK) Institute - Faculty of Engineering Sciences, Pakistan , Siraj-ul-Islam University of Engineering and Technology, Pakistan
Abstract :
We use di¤erential transform method (DTM) with Padé approximant for the solution of a class of nonlinear partial differential equations. Efficiency and simple applicability of the method for the solution of complicated nonlinear partial di¤erential equations are the main highlights of this study. Test problems related to coupled Burger s equation and two di¤erent types of nonlinear fifth-order Korteweg-de Vries (FKdV) equations are given to show the effectiveness of the technique. Most of the symbolic and numerical computations are performed using Mathematica software.
Keywords :
Differential transform method , Padé approximant , fth , order Korteweg , de Vries equations , Coupled Burger s equation , Kawahara equation , nonlinear partial differential equations
Journal title :
Selcuk Journal of Applied Mathematics
Journal title :
Selcuk Journal of Applied Mathematics
