Numerical solution of the Bagley-Torvik equation by Legendre-collocation method

Numerical solution of the Bagley-Torvik equation by Legendre-collocation method This paper presents a study of the performance of the collocation method using Legendre bases functions for solving the Bagley-Torvik equation which occurs quite frequently in various branches of applied mathematics and mechanics. The method reduces the equation into 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. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png SeMA Journal Springer Journals

Numerical solution of the Bagley-Torvik equation by Legendre-collocation method

Loading next page...
 
/lp/springer_journal/numerical-solution-of-the-bagley-torvik-equation-by-legendre-WWT9zRRaJ8
Publisher
Springer Milan
Copyright
Copyright © 2016 by Sociedad Española de Matemática Aplicada
Subject
Mathematics; Mathematics, general; Applications of Mathematics
ISSN
2254-3902
eISSN
2281-7875
D.O.I.
10.1007/s40324-016-0089-6
Publisher site
See Article on Publisher Site

Abstract

This paper presents a study of the performance of the collocation method using Legendre bases functions for solving the Bagley-Torvik equation which occurs quite frequently in various branches of applied mathematics and mechanics. The method reduces the equation into 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.

Journal

SeMA JournalSpringer Journals

Published: Jul 16, 2016

References

You’re reading a free preview. Subscribe to read the entire article.


DeepDyve is your
personal research library

It’s your single place to instantly
discover and read the research
that matters to you.

Enjoy affordable access to
over 18 million articles from more than
15,000 peer-reviewed journals.

All for just $49/month

Explore the DeepDyve Library

Search

Query the DeepDyve database, plus search all of PubMed and Google Scholar seamlessly

Organize

Save any article or search result from DeepDyve, PubMed, and Google Scholar... all in one place.

Access

Get unlimited, online access to over 18 million full-text articles from more than 15,000 scientific journals.

Your journals are on DeepDyve

Read from thousands of the leading scholarly journals from SpringerNature, Elsevier, Wiley-Blackwell, Oxford University Press and more.

All the latest content is available, no embargo periods.

See the journals in your area

DeepDyve

Freelancer

DeepDyve

Pro

Price

FREE

$49/month
$360/year

Save searches from
Google Scholar,
PubMed

Create lists to
organize your research

Export lists, citations

Read DeepDyve articles

Abstract access only

Unlimited access to over
18 million full-text articles

Print

20 pages / month

PDF Discount

20% off