Cell-centered finite difference method for parabolic equation

DOI10.1016/J.AMC.2014.02.066zbMath1334.65142OpenAlexW2079821032MaRDI QIDQ272369

Wenwen Xu

Publication date: 20 April 2016

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

Full work available at URL: https://doi.org/10.1016/j.amc.2014.02.066

zbMATH Keywords

parabolic equationnumerical analysiscell-centered finite difference

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) Parabolic equations and parabolic systems (35K99)

Related Items (5)

A multipoint flux mixed finite element method with mass-conservative characteristic finite element method for incompressible miscible displacement problem ⋮ A multipoint flux mixed finite element method for the compressible Darcy-Forchheimer models ⋮ Cell-centered finite difference method for the one-dimensional Forchheimer laws ⋮ Bernoulli collocation method for solving linear multidimensional diffusion and wave equations with Dirichlet boundary conditions ⋮ A multipoint flux mixed finite element method for Darcy-Forchheimer incompressible miscible displacement problem

Cites Work

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• Two families of mixed finite elements for second order elliptic problems
• The numerical solution of diffusion problems in strongly heterogeneous non-isotropic materials
• An introduction to multipoint flux approximations for quadrilateral grids
• Mixed and Hybrid Finite Element Methods
• Enhanced Cell-Centered Finite Differences for Elliptic Equations on General Geometry
• A Multipoint Flux Mixed Finite Element Method

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