An accurate LOD scheme for two-dimensional parabolic problems

Samir Karaa*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

18 Citations (Scopus)


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
Issue number2
Publication statusPublished - Nov 15 2005


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

ASJC Scopus subject areas

  • Computational Mathematics
  • Applied Mathematics


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