Richardson extrapolation for a singularly perturbed turning point problem with exponential boundary layers

[摘要] We consider an interior turning point problem with two exponential boundary layers. Its discretisation on a piecewise-uniform Shishkin mesh yields a scheme which is uniformly convergent (measured in the discrete maximum norm) of almost order one. Richardson extrapolation improves the accuracy to O(N-2 In-2 N). Both can be proved under the assumption epsilon <= CN-1. (C) 2015 Elsevier B.V. All rights reserved.

[发布日期] 2015-12-15

[关键词] Singularly perturbed turning point problem;Boundary layer;Upwind scheme;Richardson extrapolation;Shishkin mesh;Error expansion