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!
|
| Summary: | 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. |
|---|---|
| ISSN: | 1110-757X 1687-0042 |