Analytical and numerical validation for solving the fractional Klein-Gordon equation using the fractional complex transform and variational iteration methods

被引：4
|
作者：
Khader M.M. [2 ,3 ]
Adel M. [1 ]
机构：
[1] Department of Mathematics, Faculty of Science, Cairo University, Giza
[2] Department of Mathematics and Statistics, College of Science, Al-Imam Mohammad Ibn Saud Islamic University (IMSIU), Riyadh
[3] Department of Mathematics, Faculty of Science, Benha University, Benha
来源：
Nonlinear Engineering | 2016年 / 5卷 / 03期
关键词：
Caputo derivative; Fractional complex transform method Variational iteration method; Nonlinear fractional Klein-Gordon equation;
D O I：
10.1515/nleng-2016-0018
中图分类号：
学科分类号：
摘要：
In this paper, we implement the fractional complex transform method to convert the nonlinear fractional Klein-Gordon equation (FKGE) to an ordinary differential equation. We use the variational iteration method (VIM) to solve the resulting ODE. The fractional derivatives are presented in terms of the Caputo sense. Some numerical examples are presented to validate the proposed techniques. Finally, a comparison with the numerical solution using Runge-Kutta of order four is given. © 2016 Walter de Gruyter GmbH, Berlin/Boston 2016.
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页码：141 / 145
页数：4
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