Application of the enhanced homotopy perturbation method to solve the fractional-order Bagley-Torvik differential equation

被引：14
|
作者：
Zolfaghari, M. [2 ]
Ghaderi, R. [2 ]
SheikholEslami, A. [2 ]
Ranjbar, A. [1 ]
Hosseinnia, S. H. [2 ]
Momani, S. [3 ]
Sadati, J. [2 ]
机构：
[1] Golestan Univ, Gorgan, Iran
[2] Noushirvani Univ Technol, Fac Elect & Comp Engn, Intelligent Syst Res Grp, Babol Sar, Iran
[3] Mutah Univ, Dept Math, Al Karak, Jordan
来源：
PHYSICA SCRIPTA | 2009年 / T136卷
关键词：
NUMERICAL-SOLUTION; SYSTEMS; CHAOS;
D O I：
10.1088/0031-8949/2009/T136/014032
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
The enhanced homotopy perturbation method (EHPM) is applied for finding improved approximate solutions of the well-known Bagley-Torvik equation for three different cases. The main characteristic of the EHPM is using a stabilized linear part, which guarantees the stability and convergence of the overall solution. The results are finally compared with the Adams-Bashforth-Moulton numerical method, the Adomian decomposition method (ADM) and the fractional differential transform method (FDTM) to verify the performance of the EHPM.
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收藏
页数：7
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