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...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2006-01-01
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| Series: | Advances in Difference Equations |
| Online Access: | http://www.advancesindifferenceequations.com/content/2006/019214 |
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doaj-e36bdb61995b4423b9f1b9b6d27035d32020-11-24T21:13:35ZengSpringerOpenAdvances in Difference Equations1687-18391687-18472006-01-0120061019214Perturbation method for linear difference equations with small parametersZerizer Tahia<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> http://www.advancesindifferenceequations.com/content/2006/019214 |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Zerizer Tahia |
| spellingShingle |
Zerizer Tahia Perturbation method for linear difference equations with small parameters Advances in Difference Equations |
| author_facet |
Zerizer Tahia |
| author_sort |
Zerizer Tahia |
| title |
Perturbation method for linear difference equations with small parameters |
| title_short |
Perturbation method for linear difference equations with small parameters |
| title_full |
Perturbation method for linear difference equations with small parameters |
| title_fullStr |
Perturbation method for linear difference equations with small parameters |
| title_full_unstemmed |
Perturbation method for linear difference equations with small parameters |
| title_sort |
perturbation method for linear difference equations with small parameters |
| publisher |
SpringerOpen |
| series |
Advances in Difference Equations |
| issn |
1687-1839 1687-1847 |
| publishDate |
2006-01-01 |
| description |
<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> |
| url |
http://www.advancesindifferenceequations.com/content/2006/019214 |
| work_keys_str_mv |
AT zerizertahia perturbationmethodforlineardifferenceequationswithsmallparameters |
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1716748757914091520 |