An efficient operational matrix method for the numerical solutions of the fractional Bagley-Torvik equation using wavelets

被引：11

作者：

Balaji, S. ^{[1
]}

Hariharan, G. ^{[1
]}

机构：

[1] SASTRA Deemed Univ, Sch Arts Sci & Humanities, Dept Math, Thanjavur 613401, India

来源：

JOURNAL OF MATHEMATICAL CHEMISTRY | 2019年 / 57卷 / 08期

关键词：

Bagley-Torvik equations; Bernoulli wavelet; Fractional order; Operational matrix; Fractional integral and derivative operator; Numerical method;

D O I：

10.1007/s10910-019-01047-8

中图分类号：

O6 [化学];

学科分类号：

0703 ;

摘要：

In this paper, we apply a method which comprises of two methods Bernoulli wavelet operational matrix of derivative and integration to solve Bagley-Torvik equation of fractional order arising in mathematical chemistry. We discuss convergence and comparison of this method. The obtained results indicate that the method is very efficient and accurate.

引用

页码：1885 / 1901

页数：17

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