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Third-order methods for first-order hyperbolic partial differential equations

✍ Scribed by Cheema, T. A. ;Taj, M. S. A. ;Twizell, E. H.

Publisher
John Wiley and Sons
Year
2003
Tongue
English
Weight
102 KB
Volume
20
Category
Article
ISSN
1069-8299

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✦ Synopsis

Abstract

In this paper numerical methods for solving first‐order hyperbolic partial differential equations are developed. These methods are developed by approximating the first‐order spatial derivative by third‐order finite‐difference approximations and a matrix exponential function by a third‐order rational approximation having distinct real poles. Then parallel algorithms are developed and tested on a sequential computer for an advection equation with constant coefficient and a non‐linear problem. Copyright © 2003 John Wiley & Sons, Ltd.

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