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Numerical Analysis for the Two-Dimensional Fisher-Kolmogorov-Petrovski-Piskunov Equation with Mixed Boundary Condition

Abstract : In this paper, a finite difference scheme is presented for the initial-boundary value problem for the two-dimensional nonlinear Fisher–Kolmogorov–Petrovski–Piskunov (Fisher–KPP) equation with mixed boundary conditions. Using Energy functional, stability of the suggested scheme is achieved. Unique solvability of the difference solutions is proved. Furthermore, the second-order convergence in the discrete H1-norm is established. Finally, two numerical experiments are reported to validate the theoretical analysis.
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https://hal.inria.fr/hal-03435935
Contributor : Abderrahmane Habbal Connect in order to contact the contributor
Submitted on : Friday, November 19, 2021 - 8:39:25 AM
Last modification on : Friday, August 5, 2022 - 2:58:35 PM

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Talha Achouri, Mekki Ayadi, Abderrahmane Habbal, Boutheina Yahyaoui. Numerical Analysis for the Two-Dimensional Fisher-Kolmogorov-Petrovski-Piskunov Equation with Mixed Boundary Condition. Journal of Applied Mathematics and Computing, In press, ⟨10.1007/s12190-021-01679-7⟩. ⟨hal-03435935⟩

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