Sequential and parallel methods for solving first-order hyperbolic equations

M. A. Arigu, E. H. Twizell, A. B. Gumel

Research output: Contribution to journalArticlepeer-review

2 Scopus citations


Techniques for two-time level difference schemes are presented for the numerical solution of first-order hyperbolic partial differential equations. The space derivative is approximated by (i) a low-order, and (ii) a higher-order backward difference replacement, resulting in a system of first-order ordinary differential equations, the solutions of which satisfy recurrence relations. The methods are obtained from the recurrence relations and are tested on three linear problems and one non-linear problem from the literature.

Original languageEnglish (US)
Pages (from-to)557-568
Number of pages12
JournalCommunications in Numerical Methods in Engineering
Issue number9
StatePublished - Sep 1996
Externally publishedYes


  • Finite-difference methods
  • Hyperbolic equations
  • Padé approximants
  • Sequential and parallel implementation

ASJC Scopus subject areas

  • Software
  • Modeling and Simulation
  • Engineering(all)
  • Computational Theory and Mathematics
  • Applied Mathematics


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