Combined iterative methods for numerical solution of reaction-diffusion equations with nonlinear boundary conditions

zbMATH Open0992.65091MaRDI QIDQ2765629

Weibing Deng

Publication date: 20 May 2002

Published in: Numerical Mathematics (Search for Journal in Brave)

zbMATH Keywords

convergenceerror estimatenonlinear boundary conditionsreaction-diffusion equationGauss-Seidel methodJacobi methodsemilinear parabolic equationsmethod of upper-lower solutionsmonotone iterative schemesfinite-difference systems

Mathematics Subject Classification ID

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) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15)

Related Items (4)

A Numerical Energy Reduction Approach for Semilinear Diffusion-Reaction Boundary Value Problems Based on Steady-State Iterations ⋮ A two-step conditionally bounded numerical integrator to approximate some traveling-wave solutions of a diffusion-reaction equation ⋮ Numerical methods for reaction-diffusion equations with nonlinear boundary conditions ⋮ Title not available (Why is that?)

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