Institutional Repository
Technical University of Crete
Technical University of Crete
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| URI | http://purl.tuc.gr/dl/dias/CE6F7BD6-4C9A-45A8-9B28-8B1FB850384F | - |
| Identifier | http://www.tuc.gr/fileadmin/users_data/amcl-thalis/Images_PDFs/ICMSQUARE_FISCHER.pdf | - |
| Language | en | - |
| Extent | 4 pges | en |
| Title | Runge-Kutta and hermite collocation for a biological invasion problem modeled by a generalized fischer equation | en |
| Creator | Saridakis Ioannis | en |
| Creator | Σαριδακης Ιωαννης | el |
| Creator | Papadopoulou Eleni | en |
| Creator | Παπαδοπουλου Ελενη | el |
| Creator | Athanasakis Ioannis | en |
| Creator | Αθανασακης Ιωαννης | el |
| Content Summary | Fisher’s equation has been widely used to model the biological invasion of single- species communities in homogeneous one dimensional habitats. In this study we develop high order numerical methods to accurately capture the spatiotemporal dynamics of the generalized Fisher equation, a nonlinear reaction-diffusion equation characterized by density dependent non-linear diffusion. Working towards this direction we consider strong stability preserving Runge-Kutta (RK) temporal discretization schemes coupled with the Hermite cubic Collocation (HC) spatial discretization method. We investigate their convergence and stability properties to reveal efficient HC-RK pairs for the numerical treatment of the generalized Fisher equation. The Hadamard product is used to characterize the collocation discretized non linear equation terms as a first step for the treatment of generalized systems of relevant equations. Numerical experimentation is included to demonstrate the performance of the methods. | en |
| Type of Item | Πλήρης Δημοσίευση σε Συνέδριο | el |
| Type of Item | Conference Full Paper | en |
| License | http://creativecommons.org/licenses/by/4.0/ | en |
| Date of Item | 2015-10-16 | - |
| Date of Publication | 2013 | - |
| Bibliographic Citation | I.E. Athanassakis, E.P. Papadopoulou , Y. G. Saridakis.(2013).Runge-Kutta and hermite collocation for a biological invasion problem modeled by a generalized fischer equation.Presented at 2nd International Conference on Mathematical Modeling in Physical Sciences .[online].Available:http://www.tuc.gr/fileadmin/users_data/amcl-thalis/Images_PDFs/ICMSQUARE_FISCHER.pdf | en |
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