An unconditionally stable positivity-preserving scheme for the one-dimensional Fisher-Kolmogorov-Petrovsky-Piskunov equation
DOI10.1155/2021/7300471zbMath1486.65219OpenAlexW3206538525MaRDI QIDQ2244394
Chaeyoung Lee, Sangkwon Kim, Youngjin Hwang, Soobin Kwak, Junseok Kim, Seungyoon Kang, Hyundong Kim, Seokjun Ham, Hyun Geun Lee
Publication date: 12 November 2021
Published in: Discrete Dynamics in Nature and Society (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1155/2021/7300471
Reaction-diffusion equations (35K57) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65M99)
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Cites Work
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- An explicit positivity-preserving finite-difference scheme for the classical Fisher-Kolmogorov-Petrovsky-Piscounov equation
- A numerical approach for solving the fractional Fisher equation using Chebyshev spectral collocation method
- Spectral stability of traveling fronts for reaction diffusion-degenerate Fisher-KPP equations
- Asymptotic behavior of solutions of free boundary problems for Fisher-KPP equation
- Long time behavior of random and nonautonomous Fisher-KPP equations. I: Stability of equilibria and spreading speeds
- Stability of traveling waves of the nonlocal Fisher-KPP equation
- Reaction-diffusion modeling of the spread of spruce budworm in boreal ecosystem
- Analytical approach for fractional extended Fisher-Kolmogorov equation with Mittag-Leffler kernel
- A structure-preserving discontinuous Galerkin scheme for the Fisher-KPP equation
- An unconditionally stable scheme for the Allen-Cahn equation with high-order polynomial free energy
- Exact sharp-fronted travelling wave solutions of the Fisher-KPP equation
- Numerical study of Fisher's equation by the RBF-FD method
- An interpolatory directional splitting-local discontinuous Galerkin method with application to pattern formation in 2D/3D
- Invading and receding sharp-fronted travelling waves
- Split-step finite difference schemes for solving the nonlinear Fisher Equation
- The role of the range of dispersal in a nonlocal Fisher-KPP equation: An asymptotic analysis
- A Nonlinear Finite Volume Scheme Preserving Maximum Principle for Diffusion Equations
- Finite element analysis and approximation of Burgers’‐Fisher equation
- A study on fractional host–parasitoid population dynamical model to describe insect species
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