Method of Infinite System of Equations for Problems in Unbounded Domains
Joint Authors
Source
Journal of Applied Mathematics
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-17, 17 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2012-09-06
Country of Publication
Egypt
No. of Pages
17
Main Subjects
Abstract EN
Many problems of mechanics and physics are posed in unbounded (or infinite) domains.
For solving these problems one typically limits them to bounded domains and find ways to set appropriate conditions on artificial boundaries or use quasi-uniform grid that maps unbounded domains to bounded ones.
Differently from the above methods we approach to problems in unbounded domains by infinite system of equations.
In this paper we present starting results in this approach for some one-dimensional problems.
The problems are reduced to infinite system of linear equations.
A method for obtaining approximate solution with a given accuracy is proposed.
Numerical experiments for several examples show the effectiveness of the offered method.
American Psychological Association (APA)
Quang A, Dang& Dinh Hung, Tran. 2012. Method of Infinite System of Equations for Problems in Unbounded Domains. Journal of Applied Mathematics،Vol. 2012, no. 2012, pp.1-17.
https://search.emarefa.net/detail/BIM-993395
Modern Language Association (MLA)
Quang A, Dang& Dinh Hung, Tran. Method of Infinite System of Equations for Problems in Unbounded Domains. Journal of Applied Mathematics No. 2012 (2012), pp.1-17.
https://search.emarefa.net/detail/BIM-993395
American Medical Association (AMA)
Quang A, Dang& Dinh Hung, Tran. Method of Infinite System of Equations for Problems in Unbounded Domains. Journal of Applied Mathematics. 2012. Vol. 2012, no. 2012, pp.1-17.
https://search.emarefa.net/detail/BIM-993395
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-993395