Parameter-uniform Ritz-Galerkin finite element method for two parameter singularly perturbed boundary value problems

Mohan K. Kadalbajoo, Arjun Singh Yadaw

Research output: Contribution to journalArticlepeer-review

12 Scopus citations

Abstract

A singularly perturbed reaction-diffusion problem with two small parameters is considered. Due to these two small parameters boundary layers exist. To resolve the boundary layers a piecewise-uniform Shishkin mesh has been taken and we have shown that the Ritz-Galerkin method has almost second order parameters-uniform convergence. Numerical experiments support these theoretical results.

Original languageEnglish
Pages (from-to)287-300
Number of pages14
JournalInternational Journal of Pure and Applied Mathematics
Volume55
Issue number2
StatePublished - 2009
Externally publishedYes

Keywords

  • Boundary value problems
  • Reaction-diffusion
  • Ritz-Galerkin method
  • Shishkin mesh
  • Singular perturbation

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