Perturbation method for linear difference equations with small parameters
<p/> <p>We consider a boundary value problem for a linear difference equation with several widely different coefficients. We study the existence and uniqueness of its solution and we give successive asymptotic approximations for this solution, obtained by a simple iterative method. This...
| Main Author: | |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
SpringerOpen
2006-01-01
|
| Series: | Advances in Difference Equations |
| Online Access: | http://www.advancesindifferenceequations.com/content/2006/019214 |
| Summary: | <p/> <p>We consider a boundary value problem for a linear difference equation with several widely different coefficients. We study the existence and uniqueness of its solution and we give successive asymptotic approximations for this solution, obtained by a simple iterative method. This method improves the <it>singular perturbation method</it>, it offers considerable reduction and simplicity in computation since it does not require to compute <it>boundary layer correction solutions</it>.</p> |
|---|---|
| ISSN: | 1687-1839 1687-1847 |