**Commenced**in January 2007

**Frequency:**Monthly

**Edition:**International

**Paper Count:**31819

##### The Error Analysis of An Upwind Difference Approximation for a Singularly Perturbed Problem

**Authors:**
Jiming Yang

**Abstract:**

An upwind difference approximation is used for a singularly perturbed problem in material science. Based on the discrete Green-s function theory, the error estimate in maximum norm is achieved, which is first-order uniformly convergent with respect to the perturbation parameter. The numerical experimental result is verified the valid of the theoretical analysis.

**Keywords:**
Singularly perturbed,
upwind difference,
uniform convergence.

**Digital Object Identifier (DOI):**
doi.org/10.5281/zenodo.1074307

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