The Numerical Solution of the Bagley–Torvik Equation With Fractional Taylor Method-Reference-Cited by-同舟云学术

The Numerical Solution of the Bagley–Torvik Equation With Fractional Taylor Method

Published:2016-02-03 Issue:5 Volume:11 Page:
ISSN:1555-1415
Container-title:Journal of Computational and Nonlinear Dynamics
language:en
Short-container-title:

Author:

Krishnasamy V. S.¹,Razzaghi M.²

Affiliation:

1. Department of Mathematics and Statistics, Mississippi State University, Mississippi State, MS 39759 e-mail:

2. Department Head and Professor Department of Mathematics and Statistics, Mississippi State University, Mississippi State, MS 39759 e-mail:

Abstract

In this paper, a numerical method for solving the fractional Bagley–Torvik equation is given. This method is based on using fractional Taylor vector approximation. The operational matrix of the fractional integration for fractional Taylor vector is given and is utilized to reduce the solution of the Bagley–Torvik equation to a system of algebraic equations. Illustrative examples are included to demonstrate the validity and applicability of this technique.

Publisher

ASME International

Subject

Applied Mathematics,Mechanical Engineering,Control and Systems Engineering,Applied Mathematics,Mechanical Engineering,Control and Systems Engineering

Link

http://asmedigitalcollection.asme.org/computationalnonlinear/article-pdf/doi/10.1115/1.4032390/6107886/cnd_011_05_051010.pdf

Reference18 articles.

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2. On the Bagley—Torvik Equation;ASME J. Appl. Mech.,2013

3. Numerical Solution of the Bagley—Torvik Equation;BIT Numer. Math.,2002

4. The Solution of the Bagley—Torvik Equation With the Generalized Taylor Collocation Method;J. Franklin Inst.,2010

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