Truncation error and oscillation property of the combined compact difference scheme

Jun Zhang, Jennifer J. Zhao

Research output: Contribution to journalArticlepeer-review

14 Scopus citations

Abstract

In this work, we study a sixth order combined compact difference scheme for a one dimensional convection diffusion equation. We derive the truncation error representation and analyze its oscillation property. Numerical experiments are performed to illustrate and support our analysis.

Original languageEnglish
Pages (from-to)241-251
Number of pages11
JournalApplied Mathematics and Computation
Volume161
Issue number1
DOIs
StatePublished - Feb 4 2005

Bibliographical note

Funding Information:
This research was supported by the US National Science Foundation under grants CCR-9902022, CCR-9988165, CCR-0092532, and CCR-0117602.

Keywords

  • Combined compact difference scheme
  • Convection diffusion equation
  • Numerical oscillation

ASJC Scopus subject areas

  • Computational Mathematics
  • Applied Mathematics

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