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Sequential and parallel methods for solving first-order hyperbolic equations

✍ Scribed by Arigu, M. A. ;Twizell, E. H. ;Gumel, A. B.

Publisher
John Wiley and Sons
Year
1996
Tongue
English
Weight
478 KB
Volume
12
Category
Article
ISSN
1069-8299

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✦ Synopsis

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.

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