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A numerical algorithm to computationally solve the hemker problem using shishkin meshes

Date
2022
Abstract
A numerical algorithm is presented to solve a benchmark problem proposed by Hemker (1996). The algorithm incorporates asymptotic information into the design of appropriate piecewise-uniform Shishkin meshes. Moreover, different co-ordinate systems are utilized due to the different geometries and associated layer structures that are involved in this problem. Numerical results are presented to demonstrate the effectiveness of the proposed numerical algorithm.
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Description
peer-reviewed
Publisher
Elsevier
Citation
Journal of Computational and Applied Mathematics;409, 11415
Collections
Mathematics & Statistics
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Hegarty_2022_A_Numerical.pdf
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Keywords
Singularly perturbed, Shishkin mesh
ULRR Identifiers
https://researchrepository.ul.ie/handle/10344/11059
 https://doi.org/10.34961/4386
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Funding Information
Sustainable Development Goals
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Type
Article
Rights
https://creativecommons.org/licenses/by-nc-sa/1.0/
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