J. Korean Math. Soc. 2017; 54(4): 1209-1229
Online first article March 20, 2017 Printed July 1, 2017
https://doi.org/10.4134/JKMS.j160423
Copyright © The Korean Mathematical Society.
Junesang Choi, Devendra Kumar, Jagdev Singh, and Ram Swroop
Dongguk University, JECRC University, JECRC University, Arya Institute of Engineering \& Technology, Riico Kukas
We coupled the so-called Sumudu transform with the homotopy perturbation method (HPM) and the homotopy analysis method (HAM), which are called homotopy perturbation Sumudu transform \linebreak method (HPSTM) and homotopy analysis Sumudu transform method (HASTM), respectively. Then we show how HPSTM and HASTM are more convenient than HPM and HAM by conducting a comparative analytical study for a system of time fractional nonlinear differential equations. A Maple package is also used to enhance the clarity of the involved numerical simulations.
Keywords: nonlinear differential equations, homotopy perturbation method, homotopy analysis method, Sumudu transform
MSC numbers: 34A08, 35A20, 35A22
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