A monotone weighted average method for a non-linear reaction–diffusion problem

DOI10.1080/00207160500112811zbMath1078.65074OpenAlexW2064954480MaRDI QIDQ5462893

Igor P. Boglaev

Publication date: 27 July 2005

Published in: International Journal of Computer Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207160500112811

zbMATH Keywords

maximum principleconvergencenumerical resultsinitial-boundary value problemfinite difference methodnonlinear heat equationboundary layersmonotone iterationCrank-Nicolson schemeparabolic reaction-diffusion problem\(\theta\) methodShishkin-type grid

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) Mesh generation, refinement, and adaptive methods for the numerical solution of initial value and initial-boundary value problems involving PDEs (65M50)

Related Items (2)

Uniform convergence of a weighted average scheme for a nonlinear reaction-diffusion problem ⋮ Monotone iterates with quadratic convergence rate for solving weighted average approximations to semilinear parabolic problems

Cites Work

• Monotone iterative algorithms for a nonlinear singularly perturbed parabolic problem
• Monotone iterative methods for finite difference system of reaction- diffusion equations
• Numerical solution of a quasilinear parabolic equation with a boundary layer
• GMRES: A Generalized Minimal Residual Algorithm for Solving Nonsymmetric Linear Systems
• Finite difference reaction diffusion equations with nonlinear boundary conditions

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