Monotone iterates with quadratic convergence rate for solving weighted average approximations to semilinear parabolic problems

DOI10.1016/J.AMC.2011.01.016zbMath1221.65214OpenAlexW2141559270MaRDI QIDQ632871

Igor P. Boglaev

Publication date: 28 March 2011

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

Full work available at URL: https://doi.org/10.1016/j.amc.2011.01.016

zbMATH Keywords

singular perturbationnumerical experimentssemilinear parabolic problemmonotone iterative methodquadratic convergence ratenonlinear difference schemeweighted average scheme

Mathematics Subject Classification ID

Singular perturbations in context of PDEs (35B25) 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) Semilinear parabolic equations (35K58)

Related Items (2)

An inexact monotone method for solving semilinear parabolic problems ⋮ Monotone iterative ADI method for semilinear parabolic problems

Cites Work

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• Numerical Methods for Semilinear Parabolic Equations
• On the dynamics of a discrete reaction‐diffusion system
• Blowing-up and asymptotic behaviour of solutions for a finite difference system
• Positive solutions and dynamics of a finite difference reaction–diffusion system
• A monotone weighted average method for a non-linear reaction–diffusion problem
• Monotone algorithms for solving nonlinear monotone difference schemes of parabolic type in the canonical form

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