The solution of the Bagley-Torvik equation by using second kind Chebyshev wavelet

被引：7
|
作者：
Setia, Amit [1 ]
Liu, Yucheng [1 ]
Vatsala, A. S. [2 ]
机构：
[1] Univ Louisiana Lafayette, Dept Mech Engn, Lafayette, LA 70503 USA
[2] Univ Louisiana Lafayette, Dept Math, Lafayette, LA 70504 USA
来源：
2014 11TH INTERNATIONAL CONFERENCE ON INFORMATION TECHNOLOGY: NEW GENERATIONS (ITNG) | 2014年
关键词：
Bagley-Torvik equation; fractional differential equation; Chebyshev wavelet; Chebyshev polynomial; weight function; NUMERICAL-SOLUTION; FLUID;
D O I：
10.1109/ITNG.2014.68
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
In this paper a numerical method is developed to solve the Bagley-Torvik equation. The Bagley-Torvik equation is a fractional differential equation which occurs quite frequently in various branches of Applied Mathematics and Mechanics. The solution to this equation is proposed by using second kind Chebyshev wavelet. It finally reduces the equation in to the system of linear equations which can be easily solved. Examples are illustrated to demonstrate simplicity of proposed method. Results are also compared with those present in literature.
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页码：443 / 446
页数：4
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