Uniform second order pointwise convergence of a central difference approximation for a quasilinear convection-diffusion problem

Natalia Kopteva, Torsten Linß

Research output: Contribution to journalArticlepeer-review

Abstract

A singularly perturbed quaslinear two-point boundary value problem with an exponential boundary layer is considered. The problem is discretized using the standard central difference scheme on generalized Shishkin-type meshes. We give a uniform second-order error estimate in a discrete L∞ norm. Numerical experiments support the theoretical results.

Original languageEnglish (Ireland)
Pages (from-to)257-267
Number of pages11
JournalJournal of Computational and Applied Mathematics
Volume137
Issue number2
DOIs
Publication statusPublished - 15 Dec 2001

Keywords

  • Central difference scheme
  • Convection-diffusion problems
  • Quasilinear problems
  • Shishkin-type mesh
  • Singular perturbation

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