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›› 2008, Vol. 26 ›› Issue (6): 721-725.DOI: 10.7523/j.issn.2095-6134.2008.6.001

• 论文 •     Next Articles

MINRES and finite element method for singularly perturbed reaction diffusion
equations

YIN Jun-Wei, CHEN Yu-Fu   

  1. School Of Mathematical Sciences, Graduate University of the Chinese Academy Of
    Sciences, Beijing 100049, China
  • Received:1900-01-01 Revised:1900-01-01 Online:2008-11-15

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