%0 Journal Article %A Jiming Yang %D 2011 %J International Journal of Mathematical and Computational Sciences %B World Academy of Science, Engineering and Technology %I Open Science Index 52, 2011 %T The Error Analysis of An Upwind Difference Approximation for a Singularly Perturbed Problem %U https://publications.waset.org/pdf/9939 %V 52 %X 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. %P 621 - 623