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Journal of Applied Mathematics and Computation

ISSN Online: 2576-0653 ISSN Print: 2576-0645 CODEN: JAMCEZ
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ArticleOpen Access http://dx.doi.org/10.26855/jamc.2020.12.010

Improved High Order Methods Using Boundary Layer Detection for a Singular Perturbation Problem

Weiqun Zhang

Department of Mathematics, Wright State University, Lake Campus, Ohio, USA.

*Corresponding author: Weiqun Zhang

Published: December 11,2020

Abstract

A singular perturbation problem is solved with improved high order methods using boundary layer detection theorems. The stability and convergence, independent of the singular perturbation parameter, is numerically verified.

Keywords

Singular Perturbation, Differential Equations, Boundary Layers

References

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[9] W. Zhang. (2019). A Uniformly Convergent Numerical Method Using Weak Formulation for Singularly Perturbed Differential Equations. Journal of Mathematics and System Science, Vol. 9, No. 1, pp. 1-6, doi: 10.17265/2159-5291.

Copyright

© 2020 by the author(s).
This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution-NonCommercial-NoDerivatives (CC BY-NC-ND) license, which permits non-commercial use, distribution, and reproduction in any medium, provided the original work is properly cited and is not modified or adapted.
https://creativecommons.org/licenses/by-nc-nd/4.0/

How to cite this paper

Improved High Order Methods Using Boundary Layer Detection for a Singular Perturbation Problem

How to cite this paper: Weiqun Zhang. (2020) Improved High Order Methods Using Boundary Layer Detection for a Singular Perturbation Problem. Journal of Applied Mathematics and Computation, 4(4), 189-194.

DOI: http://dx.doi.org/10.26855/jamc.2020.12.010