An Analysis of a Superconvergence Result for a Singularly Perturbed Boundary Value Problem*
نویسندگان
چکیده
We give a new proof that the El-Mistikawy and Werle finite-difference scheme is uniformly second-order accurate for a nonselfadjoint singularly perturbed boundary value problem. To do this, we use exponential finite elements and a discretized Green's function. The proof is direct, gives the nodal errors explicitly in integral form, and involves much less computation than in previous proofs of the result.
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تاریخ انتشار 2010