A class of nonstandard numerical methods for autonomous dynamical systems

A nonstandard finite difference method for solving autonomous dynamical systems is constructed. The proposed numerical method is computationally efficient and easy to implement. It is designed so that it preserves positivity of solutions and the local behavior of the dynamical system near equilibria...

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Bibliographic Details
Published in:Applied mathematics letters 2015-12, Vol.50, p.78-82
Main Authors: Wood, Daniel T., Kojouharov, Hristo V.
Format: Article
Language:English
Subjects:
Elementary stable
Finite difference
Nonstandard
Positivity
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Summary:A nonstandard finite difference method for solving autonomous dynamical systems is constructed. The proposed numerical method is computationally efficient and easy to implement. It is designed so that it preserves positivity of solutions and the local behavior of the dynamical system near equilibria.
ISSN:0893-9659
1873-5452
DOI:10.1016/j.aml.2015.06.008