Year: 2010
Author: R. Vulanović
International Journal of Numerical Analysis and Modeling, Vol. 7 (2010), Iss. 3 : pp. 567–579
Abstract
A singularly perturbed quasilinear boundary-value problem is considered in the case when its solution has a boundary shock. The problem is discretized by an upwind finite-difference scheme on a mesh of Shishkin type. It is proved that this numerical method has pointwise accuracy of almost first order, which is uniform in the perturbation parameter.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/2010-IJNAM-738
International Journal of Numerical Analysis and Modeling, Vol. 7 (2010), Iss. 3 : pp. 567–579
Published online: 2010-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 13
Keywords: Boundary-value problem singular perturbation boundary shock finite differences Shishkin mesh uniform convergence.