Finite difference solutions of reaction diffusion equations with continuous time delays

Computers and Mathematics with Applications

Volumn 42, Issue 3-5, 2001, Pages 399-412

  Pao, C V ^a  

^a NORTH CAROLINA STATE UNIVERSITY   (United States)

Author keywords

Continuous time delay; Existence and uniqueness; Finite difference system; Method of upper and lower solutions; Monotone iterative schemes; Reaction diffusion equation

Indexed keywords

ALGORITHMS; BOUNDARY CONDITIONS; CONVERGENCE OF NUMERICAL METHODS; FINITE DIFFERENCE METHOD; ITERATIVE METHODS; NONLINEAR EQUATIONS;

FINITE DIFFERENCE SYSTEMS; REACTION DIFFUSION EQUATIONS; TIME DELAY SYSTEMS;

DIFFERENCE EQUATIONS;

EID: 0035426455     PISSN: 08981221     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0898-1221(01)00165-1     Document Type: Article

References (17)

1. Integrodifferential equations and delay models in population dynamics
2. System of parabolic equations with continuous and discrete delays
3. Harmless delays for permanence in a class of population models with diffusion effects
4. Monotone method and convergence acceleration for finite difference solutions of parabolic problems with time delays
5. Combined methods for numerical solutions of parabolic problems with time delays
6. Monotone iterative methods for a general class of discrete boundary value problems
7. Numerical methods for semilinear parabolic equations
8. Monotone methods for a finite difference system of reaction diffusion equation with time delay
9. Monotone iterations for numerical solutions of reaction-diffusion-convection equations with time delay
10. On a certain class of semilinear Volterra diffusion equations
11. Nonlinear diffusion in population genetics, combustion and nerve propagation