High order locally one-dimensional method for parabolic problems

Research output: Contribution to journalArticle

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. It is unconditionally stable and provides a computationally efficient implicit scheme. Numerical experiments are conducted to test its high accuracy and to compare it with other schemes.

Original languageEnglish
Pages (from-to)124-129
Number of pages6
JournalLecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Volume3314
Publication statusPublished - 2004

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

ASJC Scopus subject areas

  • Biochemistry, Genetics and Molecular Biology(all)
  • Computer Science(all)
  • Theoretical Computer Science

Cite this

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title = "High order locally one-dimensional method for parabolic problems",
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. It is unconditionally stable and provides a computationally efficient implicit scheme. Numerical experiments are conducted to test its high accuracy and to compare it with other schemes.",
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journal = "Lecture Notes in Computer Science",
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