Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4645923 | Applied Numerical Mathematics | 2008 | 12 Pages |
Abstract
Parameter-uniform numerical methods for a singularly perturbed elliptic problem with parabolic boundary layers in the solution are analyzed. A priori parameter explicit bounds on the solution and its derivatives are obtained using a suitable decomposition of the solution into regular and layer components. Based on this decomposition a numerical method is constructed and analyzed.
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