An accurate LOD scheme for two-dimensional parabolic problems

Research output: Contribution to journalArticle

13 Citations (Scopus)

Abstract

We propose a high order locally one-dimensional scheme for solving parabolic problems. The method is fourth-order in space and second-order in time, and provides a computationally efficient implicit scheme. It is shown through a discrete Fourier analysis that the method is unconditionally stable. Numerical experiments are conducted to test its high accuracy and to compare it with other schemes.

Original languageEnglish
Pages (from-to)886-894
Number of pages9
JournalApplied Mathematics and Computation
Volume170
Issue number2
DOIs
Publication statusPublished - Nov 15 2005

Fingerprint

Fourier analysis
Parabolic Problems
Unconditionally Stable
Implicit Scheme
Fourier Analysis
Fourth Order
High Accuracy
Experiments
Numerical Experiment
Higher Order

Keywords

  • High order compact scheme
  • LOD scheme
  • Parabolic equations
  • Stability

ASJC Scopus subject areas

  • Applied Mathematics
  • Computational Mathematics
  • Numerical Analysis

Cite this

An accurate LOD scheme for two-dimensional parabolic problems. / Karaa, Samir.

In: Applied Mathematics and Computation, Vol. 170, No. 2, 15.11.2005, p. 886-894.

Research output: Contribution to journalArticle

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