Version 1
: Received: 19 January 2024 / Approved: 19 January 2024 / Online: 19 January 2024 (10:53:47 CET)
How to cite:
Zhang, C.; Qiao, Y. Rbf-Fd Solution with the Level-Set Embedded Boundary Method for the Diffusive Logistic Model with a Free Boundary. Preprints2024, 2024011500. https://doi.org/10.20944/preprints202401.1500.v1
Zhang, C.; Qiao, Y. Rbf-Fd Solution with the Level-Set Embedded Boundary Method for the Diffusive Logistic Model with a Free Boundary. Preprints 2024, 2024011500. https://doi.org/10.20944/preprints202401.1500.v1
Zhang, C.; Qiao, Y. Rbf-Fd Solution with the Level-Set Embedded Boundary Method for the Diffusive Logistic Model with a Free Boundary. Preprints2024, 2024011500. https://doi.org/10.20944/preprints202401.1500.v1
APA Style
Zhang, C., & Qiao, Y. (2024). Rbf-Fd Solution with the Level-Set Embedded Boundary Method for the Diffusive Logistic Model with a Free Boundary. Preprints. https://doi.org/10.20944/preprints202401.1500.v1
Chicago/Turabian Style
Zhang, C. and Yuanyang Qiao. 2024 "Rbf-Fd Solution with the Level-Set Embedded Boundary Method for the Diffusive Logistic Model with a Free Boundary" Preprints. https://doi.org/10.20944/preprints202401.1500.v1
Abstract
In this paper, we propose an efficient numerical method to solve the diffusive logistic model with a free boundary which is often used to simulate the spreading of the new or invasive species. The boundary movement is tracked by the level-set method, where the Hamilton-Jacobi weighted essentially nonoscillatory (HJ-WENO) scheme is utilized to capture the boundary curve embedded by the Cartesian grids via the embedded boundary method. Then the radial basis function-finite difference (RBF-FD) method is adopted to the spatial discretization and the IMEX scheme is considered for time integration. A variety of numerical examples are carried out to demonstrate the evolution of diffusive logistic model in different initial boundaries.
Computer Science and Mathematics, Computational Mathematics
Copyright:
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
