Determination of denominator functions for a NSFD scheme for the Fisher PDE with linear advection

Ronald E. Mickens

Mathematics and Computers in Simulation (MATCOM), 2007, vol. 74, issue 2, 190-195

Abstract: We examine and discuss the general problem of how “denominator functions” are to be calculated when using nonstandard finite difference (NSFD) methods for constructing discrete models of differential equations. Using the example of the Fisher PDE with linear advection, we show that the denominator functions follow from a simple algorithm. An important class of equations for which this method can be applied are those evolution PDE’s describing nonlinear wave phenomena.

Keywords: Numerical integration; Finite difference; Nonstandard finite difference schemes (search for similar items in EconPapers)
Date: 2007
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Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:matcom:v:74:y:2007:i:2:p:190-195

DOI: 10.1016/j.matcom.2006.10.006

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