Upwind Strategy for Localized Method of Approximate Particular Solutions with Applications to Convection Dominated Diffusion Problems
Year: 2021
Author: Xueying Zhang, Luyu Ran
Advances in Applied Mathematics and Mechanics, Vol. 13 (2021), Iss. 2 : pp. 455–466
Abstract
A novel upwind technique for the localized method of approximate particular solutions (LMAPS) is proposed to solve the convection-diffusion equations. An upwind approximation to the convective terms is implemented by choosing upwind interpolation stencils while the central interpolation stencils are used for the diffusive terms. The proposed upwind LMAPS scheme is also been compared with conventional LMAPS without upwind technique, to demonstrate its superiority in generating high accurate solutions than the latter. Numerical results show that the proposed upwind LMAPS has high accuracy and efficiency for a variety of convection-diffusion equations.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/aamm.OA-2019-0103
Advances in Applied Mathematics and Mechanics, Vol. 13 (2021), Iss. 2 : pp. 455–466
Published online: 2021-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 12
Keywords: LMAPS convection dominated problems upwind scheme radial basis functions.
Author Details
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