The error analysis of an upwind difference approximation for a singularly perturbed problem

نویسنده

  • Jiming Yang
چکیده

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.

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تاریخ انتشار 2012