The Solution of Fractional Wave Equation by using Modified Trial Equation Method and Homotopy Analysis Method

被引：10
|
作者：
Kocak, Zeynep Fidan [1 ]
Bulut, Hasan [2 ]
Yel, Gulnur [1 ]
机构：
[1] Mugla Sitki Kocman Univ, Fac Sci, Dept Math, Mugla, Turkey
[2] Firat Univ, Dept Math, Fac Sci, Elazig, Turkey
来源：
10TH INTERNATIONAL CONFERENCE ON MATHEMATICAL PROBLEMS IN ENGINEERING, AEROSPACE AND SCIENCES (ICNPAA 2014) | 2014年 / 1637卷
关键词：
Fractional Wave equation; Homotopy Analysis method; The Modified Trial Equation method;
D O I：
10.1063/1.4904617
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this study, we applied the Homotopy Analysis method to the nonlinear fractional wave equation. Then, we executed a comparison between analytical solution obtained by using Modified Trial Equation method and approximate solution obtained via Homotopy Analysis method. Finally, we investigated errors analysis by drawing 3D and 2D graphics of the solution of fractional wave equation for different value of alpha.
引用
收藏
页码：504 / 512
页数：9
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