Monotone iterative ADI method for solving coupled systems of nonlinear parabolic equations

DOI10.1016/j.apnum.2016.03.009zbMath1346.65039OpenAlexW2415289337MaRDI QIDQ739029

Igor P. Boglaev

Publication date: 16 August 2016

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

Full work available at URL: https://doi.org/10.1016/j.apnum.2016.03.009

zbMATH Keywords

convergenceupper and lower solutionssemilinear parabolic systemnumerical experimentmonotone iterationsalternating direction implicit (ADI)monotone iterative ADI methodnonlinear ADI scheme

Mathematics Subject Classification ID

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 (1)

A finite point method for solving the time fractional Richards' equation

Cites Work

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• A higher-order compact ADI method with monotone iterative procedure for systems of reaction-diffusion equations
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• A uniform monotone alternating direction scheme for nonlinear singularly perturbed parabolic problems
• The Numerical Solution of Parabolic and Elliptic Differential Equations
• On the Numerical Solution of Heat Conduction Problems in Two and Three Space Variables
• Nonlinear elliptic boundary-value problems in unbounded domains
• Numerical Analysis of Coupled Systems of Nonlinear Parabolic Equations
• An efficient high-order algorithm for solving systems of reaction-diffusion equations

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