Numerical solution the fractional Bagley-Torvik equation arising in fluid mechanics

被引：24
|
作者：
Gulsu, Mustafa [1 ]
Ozturk, Yalcin [2 ]
Anapali, Ayse [1 ]
机构：
[1] Mugla Sitki Kocman Univ, Dept Math, Fac Sci, Mugla, Turkey
[2] Mugla Sitki Kocman Univ, Ula Ali Kocman Vocat Sch, Mugla, Turkey
来源：
INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS | 2017年 / 94卷 / 01期
关键词：
Bagley-Torvik equation; fluid mechanics problem; Taylor matrix method; Taylor series; approximate solution; convergence analysis; DIFFERENTIAL-EQUATIONS; ORDER;
D O I：
10.1080/00207160.2015.1099633
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we present a numerical solution method which is based on Taylor Matrix Method to give approximate solution of the Bagley-Torvik equation. Given method is transformed the Bagley-Torvik equation into a system of algebraic equations. This algebraic equations are solved through by assistance of Maple 13. Then, we have coefficients of the generalized Taylor series. So, we obtain the approximate solution with terms of the generalized Taylor series. Further some numerical examples are given to illustrate and establish the accuracy and reliability of the proposed algorithm.
引用
收藏
页码：173 / 184
页数：12
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