Unconditionally stable ADI scheme of higher-order for linear hyperbolic equations

Research output: Contribution to journalArticle

15 Citations (Scopus)

Abstract

An unconditionally stable alternating direction implicit (ADI) method of higher-order in space is proposed for solving two- and three-dimensional linear hyperbolic equations. The method is fourth-order in space and second-order in time. The solution procedure consists of a multiple use of one-dimensional matrix solver which produces a computational cost effective solver. Numerical experiments are conducted to compare the new scheme with the existing scheme based on second-order spatial discretization. The effectiveness of the new scheme is exhibited from the numerical results.

Original languageEnglish
Pages (from-to)3030-3038
Number of pages9
JournalInternational Journal of Computer Mathematics
Volume87
Issue number13
DOIs
Publication statusPublished - Oct 2010

Fingerprint

Linear Hyperbolic Equation
Alternating Direction
Unconditionally Stable
Implicit Scheme
Higher Order
Alternating Direction Implicit Method
Costs
Experiments
Fourth Order
Computational Cost
Discretization
Numerical Experiment
Numerical Results
Three-dimensional

Keywords

  • ADI method
  • high-order difference scheme
  • hyperbolic equation
  • unconditional stability

ASJC Scopus subject areas

  • Applied Mathematics
  • Computer Science Applications
  • Computational Theory and Mathematics

Cite this

Unconditionally stable ADI scheme of higher-order for linear hyperbolic equations. / Karaa, Samir.

In: International Journal of Computer Mathematics, Vol. 87, No. 13, 10.2010, p. 3030-3038.

Research output: Contribution to journalArticle

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