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Start Over Topic advection equation Topic algorithms Topic partial differential equations Journal communications in numerical methods in engineering Publisher wiley-blackwell
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1. Third-order methods for first-order hyperbolic partial differential equations.

Author

Cheema, T. A., Taj, M. S. A., and Twizell, E. H.

Subjects
*PARTIAL differential equations, *HYPERBOLIC differential equations, *FINITE differences, *NUMERICAL analysis, *ALGORITHMS
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. [ABSTRACT FROM AUTHOR]

Published
2004
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