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Volume 19, Issue 2-3
Numerical Analysis of High Order Time Stepping Schemes for a Predator-Prey System

Konstantinos Chrysafinos & Dimitrios Kostas

Int. J. Numer. Anal. Mod., 19 (2022), pp. 404-423.

Published online: 2022-04

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  • Abstract

Finite element discretisations of the modified predator-prey system are examined. In particular, fully-discrete schemes based on the discontinuous Galerkin time stepping approach for the temporal discretisation combined with standard finite elements for the spatial discretisation are considered. Stability estimates are derived for schemes of arbitrary order and error estimates that maintain a symmetric structure are proved.

  • Keywords

Predator-Prey systems, discontinuous Galerkin schemes, stability properties, error estimates.

  • AMS Subject Headings

65M60, 35K67, 65M12

  • Copyright

COPYRIGHT: © Global Science Press

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@Article{IJNAM-19-404, author = {Chrysafinos , Konstantinos and Kostas , Dimitrios}, title = {Numerical Analysis of High Order Time Stepping Schemes for a Predator-Prey System}, journal = {International Journal of Numerical Analysis and Modeling}, year = {2022}, volume = {19}, number = {2-3}, pages = {404--423}, abstract = {

Finite element discretisations of the modified predator-prey system are examined. In particular, fully-discrete schemes based on the discontinuous Galerkin time stepping approach for the temporal discretisation combined with standard finite elements for the spatial discretisation are considered. Stability estimates are derived for schemes of arbitrary order and error estimates that maintain a symmetric structure are proved.

}, issn = {2617-8710}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/ijnam/20488.html} }
TY - JOUR T1 - Numerical Analysis of High Order Time Stepping Schemes for a Predator-Prey System AU - Chrysafinos , Konstantinos AU - Kostas , Dimitrios JO - International Journal of Numerical Analysis and Modeling VL - 2-3 SP - 404 EP - 423 PY - 2022 DA - 2022/04 SN - 19 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/ijnam/20488.html KW - Predator-Prey systems, discontinuous Galerkin schemes, stability properties, error estimates. AB -

Finite element discretisations of the modified predator-prey system are examined. In particular, fully-discrete schemes based on the discontinuous Galerkin time stepping approach for the temporal discretisation combined with standard finite elements for the spatial discretisation are considered. Stability estimates are derived for schemes of arbitrary order and error estimates that maintain a symmetric structure are proved.

Konstantinos Chrysafinos & Dimitrios Kostas. (2022). Numerical Analysis of High Order Time Stepping Schemes for a Predator-Prey System. International Journal of Numerical Analysis and Modeling. 19 (2-3). 404-423. doi:
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