Solution of pattern waves for diffusive Fisher-like non-linear equations with adaptive methods
DOI10.1515/ijnsns-2015-0173zbMath1401.65076OpenAlexW2528663727MaRDI QIDQ1661643
Kailash C. Patidar, Kolade M. Owolabi
Publication date: 16 August 2018
Published in: International Journal of Nonlinear Sciences and Numerical Simulation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1515/ijnsns-2015-0173
stability analysispattern formationreaction-diffusion problemsexponential time-differencing Runge-Kutta methodtravelling wave patterns
Reaction-diffusion equations (35K57) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Method of lines for initial value and initial-boundary value problems involving PDEs (65M20)
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Cites Work
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- Existence and permanence in a diffusive KiSS model with robust numerical simulations
- Higher-order time-stepping methods for time-dependent reaction-diffusion equations arising in biology
- Exponential multistep methods of Adams-type
- Exponential time differencing for stiff systems
- An exponential time differencing method for the nonlinear Schrödinger equation
- Evaluating matrix functions for exponential integrators via Carathéodory-Fejér approximation and contour integrals
- Explicit solutions of Fisher's equation for a special wave speed
- Existence of traveling wavefront solutions for the discrete Nagumo equation
- Numerical solution of the \(1+2\) dimensional Fisher's equation by finite elements and the Galerkin method
- A nonstandard finite difference scheme for a Fisher PDE having nonlinear diffusion.
- Mathematical biology. Vol. 1: An introduction.
- Mathematical biology. Vol. 2: Spatial models and biomedical applications.
- Toward non commutative numerical analysis: High order integration in time
- Robust IMEX schemes for solving two-dimensional reaction-diffusion models
- Numerical solution of singular patterns in one-dimensional Gray-Scott-like models
- Finite difference reaction-diffusion systems with coupled boundary conditions and time delays
- Finite-difference schemes for reaction-diffusion equations modeling predator-prey interactions in MATLAB
- Finite element approximation of spatially extended predator-prey interactions with the Holling type II functional response
- Nagumo's equation
- Exponential methods for one-dimensional reaction-diffusion equations
- Analysis and applications of the exponential time differencing schemes and their contour integration modifications
- A Compendium of Partial Differential Equation Models
- A non‐linear model of cerebral diffusion: stability of finite differences method and resolution using the Adomian method
- Spatiotemporal dynamics of two generic predator–prey models
- Implicit-Explicit Methods for Time-Dependent Partial Differential Equations
- Fourth-Order Time-Stepping for Stiff PDEs
- Turing instabilities in general systems