Journal
JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS
Volume 11, Issue 7, Pages 645-653Publisher
TAYLOR & FRANCIS LTD
DOI: 10.1080/10236190412331334527
Keywords
dynamic consistency; nonstandard finite difference schemes; positivity; difference equations; numerical analysis
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The need often arises to analyze the dynamics of a system in terms of a discrete formulation. This can occur by using an a priori discrete model of the system or by discretizing a continuous model. For the latter case, the continuous model is represented by differential equations and the discrete forms come from the requirement to numerically integrate these equations. The concept of dynamic consistency plays an essential role in the construction of such discrete models which usually are expressed as finite difference equations. We define this concept and illustrate its application to the construction of nonstandard finite difference schemes.
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