An efficient hybrid technique for the solution of fractional-order partial differential equations

被引:12
|
作者
Jassim, H. K. [1 ]
Ahmad, H. [1 ]
Shamaoon, A. [1 ]
Cesarano, C. [2 ]
机构
[1] Univ Thi Qar, Nasiriyah 00964, Dhi Qar, Iraq
[2] Int Telemat Univ Uninettuno, Corso Vittorio Emanuele II 39, I-00186 Rome, Italy
关键词
fractional differential equation; Sumudu transform; homotopy analysis method; VARIATIONAL ITERATION METHOD; APPROXIMATE SOLUTIONS; TRANSFORM;
D O I
10.15330/cmp.13.3.790-804
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
In this paper, a hybrid technique called the homotopy analysis Sumudu transform method has been implemented solve fractional-order partial differential equations. This technique is the amalgamation of Sumudu transform method and the homotopy analysis method. Three examples are considered to validate and demonstrate the efficacy and accuracy of the present technique. It is also demonstrated that the results obtained from the suggested technique are in excellent agreement with the exact solution which shows that the proposed method is efficient, reliable and easy to implement for various related problems of science and engineering.
引用
收藏
页码:790 / 804
页数:15
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