Numerical Analysis for the Two-Dimensional Fisher-Kolmogorov-Petrovski-Piskunov Equation with Mixed Boundary Condition - Laboratoire Jean-Alexandre Dieudonné Accéder directement au contenu
Article Dans Une Revue Journal of Applied Mathematics and Computing Année : 2021

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

Résumé

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.
Fichier non déposé

Dates et versions

hal-03435935 , version 1 (19-11-2021)

Identifiants

Citer

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⟩
95 Consultations
0 Téléchargements

Altmetric

Partager

Gmail Facebook X LinkedIn More