Sequential and parallel methods for solving first-order hyperbolic equations

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

Research output: Contribution to journalArticle

2 Citations (Scopus)

Abstract

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
Volume12
Issue number9
StatePublished - Sep 1996
Externally publishedYes

Fingerprint

Sequential Methods
Parallel Methods
Recurrence relation
Hyperbolic Equations
Ordinary differential equations
Partial differential equations
First-order
Derivatives
Recurrence
Hyperbolic Partial Differential Equations
First order differential equation
Difference Scheme
Replacement
Nonlinear Problem
Ordinary differential equation
Numerical Solution
Higher Order
Derivative

Keywords

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

ASJC Scopus subject areas

  • Engineering (miscellaneous)
  • Computational Mechanics
  • Applied Mathematics

Cite this

Sequential and parallel methods for solving first-order hyperbolic equations. / Arigu, M. A.; Twizell, E. H.; Gumel, Abba.

In: Communications in Numerical Methods in Engineering, Vol. 12, No. 9, 09.1996, p. 557-568.

Research output: Contribution to journalArticle

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