Title :
The Solution of the Bagley-Torvik Equation by Using Second Kind Chebyshev Wavelet
Author :
Setia, Amit ; Yucheng Liu ; Vatsala, A.S.
Author_Institution :
Dept. of Mech. Eng., Univ. of Louisiana Lafayette, Lafayette, LA, USA
Abstract :
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.
Keywords :
Chebyshev approximation; differential equations; wavelet transforms; Bagley-Torvik equation; applied mathematics; fractional differential equation; linear equations; mechanics; numerical method; second kind Chebyshev wavelet; Chebyshev approximation; Differential equations; Equations; Fluids; Fractional calculus; Wavelet analysis; Bagley-Torvik equation; Chebyshev polynomial; Chebyshev wavelet; fractional differential equation; weight function;
Conference_Titel :
Information Technology: New Generations (ITNG), 2014 11th International Conference on
Conference_Location :
Las Vegas, NV
Print_ISBN :
978-1-4799-3187-3
DOI :
10.1109/ITNG.2014.68
