Monotone iterations for numerical solutions of reaction-diffusion-convection equations with time delay

DOI<link itemprop=identifier href="https://doi.org/10.1002/(SICI)1098-2426(199805)14:3<339::AID-NUM4>3.0.CO;2-N" /><339::AID-NUM4>3.0.CO;2-N 10.1002/(SICI)1098-2426(199805)14:3<339::AID-NUM4>3.0.CO;2-NzbMath0919.65056OpenAlexW2101125061MaRDI QIDQ4240614

Chia-Ven Pao

Publication date: 23 August 1999

Full work available at URL: https://doi.org/10.1002/(sici)1098-2426(199805)14:3<339::aid-num4>3.0.co;2-n

zbMATH Keywords

numerical exampletime delayupper and lower solutionsimplicit finite difference schemepopulation dynamicsmonotone iterationGauss-Seidel methodJacobi methodsnonlinear reaction-diffusion-convection problem

Mathematics Subject Classification ID

Numerical computation of solutions to systems of equations (65H10) Reaction-diffusion equations (35K57) Population dynamics (general) (92D25) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06)

Related Items (7)

Convergence of Three-Step Taylor Galerkin Finite Element Scheme Based Monotone Schwarz Iterative Method for Singularly Perturbed Differential-Difference Equation ⋮ A lattice Boltzmann model for reaction dynamical systems with time delay ⋮ A finite element domain decomposition approximation for a semilinear parabolic singularly perturbed differential equation ⋮ BLOW-UP PHENOMENA PROFILE FOR HADAMARD FRACTIONAL DIFFERENTIAL SYSTEMS IN FINITE TIME ⋮ A spectral Galerkin method for nonlinear delay convection-diffusion-reaction equations ⋮ Asymptotic behavior of the numerical solutions of time-delayed reaction diffusion equations with non-monotone reaction term ⋮ Finite difference solutions of reaction diffusion equations with continuous time delays

Cites Work

• Operator inequalities
• Monotone methods and attractivity results for Volterra integro-partial differential equations
• Boundary element monotone iteration scheme for semilinear elliptic partial differential equations

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