Asymptotic behavior of solutions for finite-difference equations of reaction-diffusion

DOI10.1016/0022-247X(89)90369-7zbMath0699.65070MaRDI QIDQ913464

Chia-Ven Pao

Publication date: 1989

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

zbMATH Keywords

stability regionmonotone convergenceNumerical resultsmethod of upper-lower solutionscontinuous reaction-diffusion equationsenzyme-substrate reaction modelfinite-difference system

Mathematics Subject Classification ID

Reaction-diffusion equations (35K57) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) General biology and biomathematics (92B05)

Related Items (max. 100)

Blowing-up and asymptotic behaviour of solutions for a finite difference system ⋮ Numerical solutions of a three-competition Lotka-Volterra system ⋮ A finite difference method and analysis for 2D nonlinear Poisson-Boltzmann equations ⋮ Numerical solution to a nonlinear McKendrick-Von Foerster equation with diffusion ⋮ Global attractor of a coupled finite difference reaction diffusion system with delays. ⋮ Monotone methods for a finite difference system of reaction diffusion equation with time delay ⋮ Asymptotic behavior of the solution of a diffusion equation with nonlocal boundary conditions ⋮ Numerical solutions of reaction-diffusion equations with nonlocal boundary conditions ⋮ Asymptotic behavior of the numerical solutions for a system of nonlinear integrodifferential reaction-diffusion equations ⋮ Asymptotic behavior of the numerical solutions of time-delayed reaction diffusion equations with non-monotone reaction term ⋮ Numerical solutions of a Michaelis-Menten-type ratio-dependent predator-prey system with diffusion ⋮ Unnamed Item ⋮ Monotone iterative techniques for mildly nonlinear differential equations ⋮ Dynamics of a finite difference system of reaction diffusion equations with time delay ⋮ Finite difference reaction-diffusion systems with coupled boundary conditions and time delays

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• On numerical asymptotic behavior of the finite element solutions for parabolic equations
• A class of second-order nonlinear difference equations. II: Comparison results and approximation of solutions
• Monotone iterative methods for finite difference system of reaction- diffusion equations
• Asymptotic stability and non-existence of global solution for a semi- linear parabolic equation
• Asymptotic behavior and nonexistence of global solutions for a class of nonlinear boundary value problems of parabolic type
• Multiple solutions of a boundary-value problem in enzyme kinetics
• Multiple Steady States in a Biochemical System
• S-shaped bifurcation curves
• Solutions of a Differential Equation Arising in Chemical Reactor Processes
• Multiple Stable Solutions of Nonlinear Boundary Value Problems Arising in Chemical Reactor Theory
• Numerical solution of reactive-diffusive systems

This page was built for publication: Asymptotic behavior of solutions for finite-difference equations of reaction-diffusion