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

Samir Karaa*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

27 Citations (Scopus)


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
Issue number13
Publication statusPublished - Oct 2010


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

ASJC Scopus subject areas

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


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