Minimum time‐step criteria for the Galerkin finite element methods applied to one‐dimensional parabolic partial differential equations

DOI10.1002/num.20097zbMath1089.65102OpenAlexW2023382202MaRDI QIDQ5469031

Chaodong Yang, Yongan Gu

Publication date: 16 May 2006

Published in: Numerical Methods for Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/num.20097

zbMATH Keywords

finite element methodparabolic partial differential equationsnumerical experimentssemidiscretizationCrank-Nicolson schemeGalerkin methodstime-stepping schemesheat equationsaccuracy analysisbackward-difference schemeTime stepforward-difference schemeGalerkin-time scheme

Mathematics Subject Classification ID

Heat equation (35K05) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Method of lines for initial value and initial-boundary value problems involving PDEs (65M20) Mesh generation, refinement, and adaptive methods for the numerical solution of initial value and initial-boundary value problems involving PDEs (65M50)

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Cites Work

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