Method of Infinite System of Equations for Problems in Unbounded Domains
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. Dif...
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2012-01-01
|
| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2012/584704 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832559831370694656 |
|---|---|
| author | Dang Quang A Tran Dinh Hung |
| author_facet | Dang Quang A Tran Dinh Hung |
| author_sort | Dang Quang A |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-588dfa4f63bd417c892b4f7ea7958bd8 |
| institution | Kabale University |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2012-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-588dfa4f63bd417c892b4f7ea7958bd82025-02-03T01:29:11ZengWileyJournal of Applied Mathematics1110-757X1687-00422012-01-01201210.1155/2012/584704584704Method of Infinite System of Equations for Problems in Unbounded DomainsDang Quang A0Tran Dinh Hung1Institute of Information Technology, VAST, 18 Hoang Quoc Viet, Cau Giay, Hanoi 10000, VietnamCollege of Education, Thai Nguyen University, Thai Nguyen City 23000, VietnamMany 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.http://dx.doi.org/10.1155/2012/584704 |
| spellingShingle | Dang Quang A Tran Dinh Hung Method of Infinite System of Equations for Problems in Unbounded Domains Journal of Applied Mathematics |
| title | Method of Infinite System of Equations for Problems in Unbounded Domains |
| title_full | Method of Infinite System of Equations for Problems in Unbounded Domains |
| title_fullStr | Method of Infinite System of Equations for Problems in Unbounded Domains |
| title_full_unstemmed | Method of Infinite System of Equations for Problems in Unbounded Domains |
| title_short | Method of Infinite System of Equations for Problems in Unbounded Domains |
| title_sort | method of infinite system of equations for problems in unbounded domains |
| url | http://dx.doi.org/10.1155/2012/584704 |
| work_keys_str_mv | AT dangquanga methodofinfinitesystemofequationsforproblemsinunboundeddomains AT trandinhhung methodofinfinitesystemofequationsforproblemsinunboundeddomains |