A three-point time discretization technique for parabolic partial differential equations

DOI10.1002/nag.902zbMath1274.76268OpenAlexW2115646318MaRDI QIDQ2855262

A. Khoshghalb, N. Khalili, A. Patrick S. Selvadurai

Publication date: 25 October 2013

Published in: International Journal for Numerical and Analytical Methods in Geomechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/nag.902

zbMATH Keywords

stabilityparabolic partial differential equationstime discretization

Mathematics Subject Classification ID

Hydrology, hydrography, oceanography (86A05) Flows in porous media; filtration; seepage (76S05) Finite difference methods applied to problems in fluid mechanics (76M20)

Related Items (4)

Modelling of orthorhombic quasicrystal shallow shells ⋮ The MLPG applied to porous materials with variable stiffness and permeability ⋮ A variable-\(\theta\) method for parabolic problems of nonsmooth data ⋮ Mindlin theory for the bending of porous plates

Cites Work

• One-step and linear multistep methods for nonlinear consolidation
• On the importance of the discrete maximum principle in transient analysis using finite element methods
• An accuracy condition for consolidation by finite elements
• A comparison of time marching schemes for the transient heat conduction equation
• The Extrapolation of First Order Methods for Parabolic Partial Differential Equations. I
• Minimum time‐step criteria for the Galerkin finite element methods applied to one‐dimensional parabolic partial differential equations
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