Finite difference reaction-diffusion systems with coupled boundary conditions and time delays
From MaRDI portal
Publication:1851308
DOI10.1016/S0022-247X(02)00145-2zbMath1014.65074MaRDI QIDQ1851308
Publication date: 16 December 2002
Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)
finite difference schemereaction-diffusion systemsglobal attractorsmonotone convergencelarge-time behaviortime-delayscoupled boundary conditionslocal attractors
Reaction-diffusion equations (35K57) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12)
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Cites Work
- Harmless delays for permanence in a class of population models with diffusion effects
- Asymptotic stability for some systems of semilinear Volterra diffusion equations
- Asymptotic behavior of solutions for finite-difference equations of reaction-diffusion
- Models of genetic control by repression with time delays and spatial effects
- Qualitative analysis of a coupled reaction-diffusion model in biology with time delays
- Combined iterative methods for numerical solutions of parabolic problems with time delays
- Accelerated monotone iterative methods for finite difference equations of reaction-diffusion
- Theory and applications of partial functional differential equations
- Numerical methods for systems of nonlinear parabolic equations with time delays
- Einige abstrakte Begriffe in der numerischen Mathematik (Anwendungen der Halbordnung).(Some abstract notions in the numerical mathematic. (Applications et semiorder))
- Time delayed parabolic systems with coupled nonlinear boundary conditions
- On a Coupled Reaction Diffusion System with Time Delays
- Nonlinear elliptic boundary-value problems in unbounded domains
- Existence and Stability for Partial Functional Differential Equations
- Numerical Analysis of Coupled Systems of Nonlinear Parabolic Equations
- Monotone method and convergence acceleration for finite‐difference solutions of parabolic problems with time delays
- Blowing-up and asymptotic behaviour of solutions for a finite difference system
- Programming Languages: Generation of positive test matrices with known positive spectra
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