Universal approaches to approximate biological systems with nonstandard finite difference methods

Daniel T. Wood, Hristo V. Kojouharov and Dobromir T. Dimitrov

Mathematics and Computers in Simulation (MATCOM), 2017, vol. 133, issue C, 337-350

Abstract: Nonstandard finite difference methods have been extensively used to numerically solve various problems in science and engineering. Most of those methods have been specifically designed to handle each problem separately and have been difficult to extend to other problems. In recent years, general nonstandard modeling approaches preserving key characteristics of autonomous dynamical systems have been proposed. In this paper, three of these numerical methods are presented and their performance is evaluated and compared in several different settings.

Keywords: Finite difference; Nonstandard; Elementary stable; Positivity; Dynamically consistent (search for similar items in EconPapers)
Date: 2017
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Citations: View citations in EconPapers (4)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:matcom:v:133:y:2017:i:c:p:337-350

DOI: 10.1016/j.matcom.2016.04.007

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