Monotone iterative algorithms for a nonlinear singularly perturbed parabolic problem

DOI10.1016/j.cam.2004.02.010zbMath1070.65091OpenAlexW2060971474MaRDI QIDQ704194

Igor P. Boglaev

Publication date: 13 January 2005

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2004.02.010

zbMATH Keywords

convergencesingular perturbationnumerical experimentsmonotone iterationMonotone methodBoundary layersmonotone domain decomposition algorithmMonotone Schwarz alternating algorithmParabolic reaction-diffusion problem

Mathematics Subject Classification ID

Singular perturbations in context of PDEs (35B25) 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) Multigrid methods; domain decomposition for initial value and initial-boundary value problems involving PDEs (65M55)

Related Items (8)

SSOR and ASSOR preconditioners for block-Broyden method ⋮ Solving a class of singularly perturbed partial differential equation by using the perturbation method and reproducing kernel method ⋮ The solution of a semilinear evolutionary convection-diffusion problem by a monotone domain decomposition algorithm ⋮ Uniform convergent monotone iterates for semilinear singularly perturbed parabolic problems ⋮ Monotone Schwarz iterates for a semilinear parabolic convection--diffusion problem ⋮ Monotone finite difference domain decomposition algorithms and applications to nonlinear singularly perturbed reaction-diffusion problems ⋮ Monotone algorithms for solving nonlinear monotone difference schemes of parabolic type in the canonical form ⋮ A monotone weighted average method for a non-linear reaction–diffusion problem

Cites Work

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