Convergence of the Crank-Nicolson/Newton scheme for nonlinear parabolic problem

DOI10.1016/S0252-9602(15)30083-7zbMath1363.65146MaRDI QIDQ320490

Xinlong Feng, Yin-Nian He

Publication date: 6 October 2016

Published in: Acta Mathematica Scientia. Series B. (English Edition) (Search for Journal in Brave)

zbMATH Keywords

finite element methodnumerical experimentsNewton methodCrank-Nicolson schemenonlinear parabolic problemoptimal error estimatesemidisretization

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) 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) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Method of lines for initial value and initial-boundary value problems involving PDEs (65M20)

Related Items (5)

Decoupled Crank–Nicolson/Adams–Bashforth scheme for the Boussinesq equations with smooth initial data ⋮ Analysis of a full discretization scheme for \(2D\) radiative-conductive heat transfer systems ⋮ A coupled nonlinear finite element scheme for anisotropic diffusion equation with nonlinear capacity term ⋮ The Crank-Nicolson/Explicit Scheme for the Natural Convection Equations with Nonsmooth Initial Data ⋮ The decoupled Crank-Nicolson/Adams-Bashforth scheme for the Boussinesq equations with nonsmooth initial data

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