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

fYear

2014

fDate

7-9 April 2014

Firstpage

443

Lastpage

446

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;

fLanguage

English

Publisher

ieee

Conference_Titel

Information Technology: New Generations (ITNG), 2014 11th International Conference on

Conference_Location

Las Vegas, NV

Print_ISBN

978-1-4799-3187-3

Type

conf

DOI

10.1109/ITNG.2014.68

Filename

6822237