MINRES and finite element method for singularly perturbed reaction diffusion equations

YIN Jun-Wei; CHEN Yu-Fu

doi:10.7523/j.issn.2095-6134.2008.6.001

Journal of University of Chinese Academy of Sciences >

2008 , Vol. 25 >Issue 6: 721 - 725

DOI: https://doi.org/10.7523/j.issn.2095-6134.2008.6.001

论文

MINRES and finite element method for singularly perturbed reaction diffusion
equations

YIN Jun-Wei ,
CHEN Yu-Fu

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School Of Mathematical Sciences, Graduate University of the Chinese Academy Of
Sciences, Beijing 100049, China

Received date: 1900-01-01

Revised date: 1900-01-01

Online published: 2008-11-15

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Abstract

In this paper, we discuss the numerical solutions of singularly perturbed reaction diffusion equation , where both and are positive
constants. Based on the finite element method, we use the MINRES algorithm to
obtain numerical solutions of the equation. Our new approach corrects the spurious
oscillations in the presence of boundary layers of the original solutions.

Key words： MINRES algorithm; finite element method; singularly perturbed reaction diffusion equation

Cite this article

YIN Jun-Wei , CHEN Yu-Fu . MINRES and finite element method for singularly perturbed reaction diffusion
equations[J]. Journal of University of Chinese Academy of Sciences, 2008 , 25(6) : 721 -725 . DOI: 10.7523/j.issn.2095-6134.2008.6.001

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