Griffiths, D.F. and Higham, D.J. (2000) *MacCormack's method for advection-reaction equations.* Computational Fluid Dynamics Journal, 9 (1). ISSN 0918-6654

## Abstract

MacCormack's method is an explicit, second order finite difference scheme that is widely used in the solution of hyperbolic problems. Here, we consider MacCormack's method applied to the linear advection equation with nonlinear source term. Various features of the method are analysed. First, we show that the conventional implementation is not stable for Courant numbers close to one unless a small time-step is used.

Item type: | Article |
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ID code: | 175 |

Keywords: | advection-reaction equations, mathematics, fluid dynamics, Electronic computers. Computer science, Mathematics |

Subjects: | Science > Mathematics > Electronic computers. Computer science Science > Mathematics |

Department: | Faculty of Science > Mathematics and Statistics |

Related URLs: | |

Depositing user: | Ms Sarah Scott |

Date Deposited: | 03 Mar 2006 |

Last modified: | 12 Mar 2012 10:35 |

URI: | http://strathprints.strath.ac.uk/id/eprint/175 |

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