Open Access

ARTICLE

A Wavelet Method for Solving Bagley-Torvik Equation

Xiaomin Wang^1,2
1 School of Engineering, Huazhong Agricultural University, Wuhan, Hubei 430070, China.
2 Corresponding author. E-mail: wangxm2012@mail.hzau.edu.cn

Computer Modeling in Engineering & Sciences 2014, 102(2), 169-182. https://doi.org/10.3970/cmes.2014.102.169

Abstract

In this paper, an efficient and robust wavelet Laplace inversion method of solving the fractional differential equations is proposed. Such an inverse function can be applied to any reasonable function categories and it is not necessary to know the properties of original function in advance. As an example, we have applied the proposed method to the solution of the Bagley–Torvik equations and Numerical examples are given to demonstrate the efficiency and accuracy of the proposed.

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Keywords

Fractional differential equations Laplace transform, Bagley–Torvik equation wavelet

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