Decay to spatially homogeneous states for the numerical solution of reaction-diffusion systems

DOI10.1007/BF02575686zbMath0489.65064MaRDI QIDQ1166908

Luciano Lopez, Luciano Galeone

Publication date: 1982

Published in: Calcolo (Search for Journal in Brave)

zbMATH Keywords

asymptotic solutionnonlinear reaction-diffusion equationshomogeneous Neumann boundary conditions

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Initial value problems for second-order parabolic equations (35K15) Numerical solution of discretized equations for boundary value problems involving PDEs (65N22)

Related Items (4)

Long-time numerical properties analysis of a diffusive SIS epidemic model under a linear external source ⋮ Global numerical analysis of an improved IMEX numerical scheme for a reaction diffusion SIS model in advective heterogeneous environments ⋮ Stability of invariant regions for an alternating direction method for systems of nonlinear reaction-diffusion equations ⋮ Numerical analysis of a reaction-diffusion susceptible-infected-susceptible epidemic model

Cites Work

• A reaction-diffusion model for a deterministic diffusive epidemic
• Global Solution for a Diffusive Nonlinear Deterministic Epidemic Model
• Convergence to Homogeneous Equilibrium State for Generalized Volterra–Lotka Systems with Diffusion
• Stability Results for Semilinear Evolution Equations and Their Application to Some Reaction-Diffusion Problems
• Alternating-Direction Galerkin Methods for Parabolic and Hyperbolic Problems on Rectangular Polygons
• Large Time Behavior of Solutions of Systems of Nonlinear Reaction-Diffusion Equations
• Stability and Convergence of Finite Difference Methods for Systems of Nonlinear Reaction-Diffusion Equations
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