THE HOMOTOPY ANALYSIS RANGAIG TRANSFORM METHOD FOR NONLINEAR PARTIAL DIFFERENTIAL EQUATIONS

被引：1
|
作者：
Ziane, Djelloul [1 ]
Cherif, Mountassir Hamdi [2 ]
机构：
[1] Hassiba Benbouali Univ Chief, Pole Ouled Fares, Fac Exact Sci & Informat, Ouled Fares, Algeria
[2] Orans Hight Sch Elect & Energet Engn ESGEE Oran, Preparatory Cycle Dept, Oran, Algeria
来源：
JOURNAL OF APPLIED MATHEMATICS AND COMPUTATIONAL MECHANICS | 2022年 / 21卷 / 02期
关键词：
Rangaig transform method; homotopy analysis method; nonlinear partial differential equations;
D O I：
10.17512/jamcm.2022.2.10
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The idea suggested in this article is to combine the Rangaig transform with the homotopy analysis method in order to facilitate the solution of nonlinear partial differential equations. This method may be called the homotopy analysis Rangaig transform method (HARTM). The proposed example results showed that HARTM is an effective method for solving nonlinear partial differential equations.
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页码：111 / 122
页数：12
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