Numerical Methods for Quasi‐Linear Elliptic Equations with Nonlinear Boundary Conditions

DOI10.1137/060653640zbMath1160.65054OpenAlexW2071877895MaRDI QIDQ5900109

Chia-Ven Pao

Publication date: 19 June 2008

Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/060653640

zbMATH Keywords

upper and lower solutionsheat conductionnonlinear boundary conditioncombustionquasi-linear elliptic equationsmonotone iterative schemesconvergence finite differencedensity-dependent reaction diffusion equation

Mathematics Subject Classification ID

Nonlinear boundary value problems for linear elliptic equations (35J65) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Combustion (80A25) Finite difference methods for boundary value problems involving PDEs (65N06) Finite difference methods applied to problems in thermodynamics and heat transfer (80M20)

Related Items (6)

Fourth-order compact finite difference methods and monotone iterative algorithms for semilinear elliptic boundary value problems ⋮ Fourth-Order Compact Finite Difference Methods and Monotone Iterative Algorithms for Quasi-Linear Elliptic Boundary Value Problems ⋮ Quasilinear parabolic and elliptic systems with mixed quasimonotone functions ⋮ NUMERICAL METHODS FOR COUPLED SYSTEMS OF QUASILINEAR ELLIPTIC EQUATIONS WITH NONLINEAR BOUNDARY CONDITIONS ⋮ A modified accelerated monotone iterative method for finite difference reaction-diffusion-convection equations ⋮ Higher-order monotone iterative methods for finite difference systems of nonlinear reaction-diffusion-convection equations

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