Extending nonstandard finite difference scheme rules to systems of nonlinear ODEs with constant coefficients-Reference-Cited by-同舟云学术

Extending nonstandard finite difference scheme rules to systems of nonlinear ODEs with constant coefficients

Published:2024-01-05 Issue:5 Volume:30 Page:577-602
ISSN:1023-6198
Container-title:Journal of Difference Equations and Applications
language:en
Short-container-title:Journal of Difference Equations and Applications

Author:

Songolo Marc E.¹,Bidégaray-Fesquet Brigitte²

Affiliation:

1. Department of Mathematics and Computer Science, University of Lubumbashi, Lubumbashi, Democratic Republic of the Congo

2. Univ. Grenoble Alpes, CNRS, Grenoble INP, LJK, Grenoble, France

Publisher

Informa UK Limited

Link

https://www.tandfonline.com/doi/pdf/10.1080/10236198.2023.2300726

Reference34 articles.

1. Contributions to the mathematics of the nonstandard finite difference method and applications

2. R. Anguelov J.M.-S. Lubuma and M. Shillor Dynamically consistent nonstandard finite difference schemes for continuous dynamical systems in: X. Hou X. Lu A. Miranville J. Su J. Zhu (Eds.) Dynamical Systems and Differential Equations (Proceedings of the 7th AIMS Conference on Dynamical Systems and Differential Equations 18–21 May 2008 University of Texas at Arlington TX USA) in: American Institute of Mathematical Sciences Conference Series 2009 pp. 34–43.

3. Topological dynamic consistency of non-standard finite difference schemes for dynamical systems

4. N. Bosch H. Philipp and T. Filip Probabilistic Exponential Integrators arXiv preprint arXiv:2305.14978 2023.

5. Nonstandard finite difference schemes for general linear delay differential systems

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