Application of Residual Power Series Method to Fractional Coupled Physical Equations Arising in Fluids Flow

被引：40
作者：
Arafa, Anas [1 ]
Elmahdy, Ghada [2 ]
机构：
[1] Port Said Univ, Dept Math & Comp Sci, Port Said, Egypt
[2] Canal High Inst Engn & Technol, Dept Basic Sci, Suez, Egypt
来源：
INTERNATIONAL JOURNAL OF DIFFERENTIAL EQUATIONS | 2018年 / 2018卷
关键词：
D O I：
10.1155/2018/7692849
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The approximate analytical solution of the fractional Cahn-Hilliard and Gardner equations has been acquired successfully via residual power series method (RPSM). The approximate solutions obtained by RPSM are compared with the exact solutions as well as the solutions obtained by homotopy perturbation method (HPM) and q-homotopy analysis method (q-HAM). Numerical results are known through different graphs and tables. The fractional derivatives are described in the Caputo sense. The results light the power, efficiency, simplicity, and reliability of the proposed method.
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页数：10
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