Solving fractional diffusion and wave equations by modified homotopy perturbation method
Solving fractional diffusion and wave equations by modified homotopy perturbation method
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DOI：
10.1016/j.physleta.2007.05.118
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发表时间：
2007-10-29
影响因子：
2.6
通讯作者：
Momani, Shaher
中科院分区：
文献类型：
--
作者：
Jafari, Hossein;Momani, Shaher
本文应用Momani和Odibat提出的修正的He同伦摄动法(HPM)求解线性和非线性分数阶扩散方程和波动方程。分数导数用卡普托意义来描述。最后给出了一些算例，说明了该方法的有效性和方便性。(C)2007 Elsevier B.V.保留所有权利。
This Letter applies the modified He's homotopy perturbation method (HPM) suggested by Momani and Odibat to obtaining solutions of linear and nonlinear fractional diffusion and wave equations. The fractional derivative is described in the Caputo sense. Some illustrative examples are given, revealing the effectiveness and convenience of the method. (C) 2007 Elsevier B.V. All rights reserved.