The upwind finite difference fractional steps method for combinatorial system of dynamics of fluids in porous media and its application

DOI10.1007/BF02872337zbMath1100.65507OpenAlexW4247412681MaRDI QIDQ2503781

Yi-Rang Yuan

Publication date: 22 September 2006

Published in: Science in China. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02872337

zbMATH Keywords

convergenceerror estimatesinitial-boundary value problemconvection-dominated diffusion combinatorial systemsmultilayer dynamics of fluids in porous mediatwo-class upwind finite difference fractional steps method

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Flows in porous media; filtration; seepage (76S05) Finite difference methods applied to problems in fluid mechanics (76M20) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15)

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Modified characteristic finite difference fractional step method for moving boundary value problem of nonlinear percolation system ⋮ The finite difference method for the three-dimensional nonlinear coupled system of dynamics of fluids in porous media ⋮ Pseudo almost periodic solutions of a singularly perturbed differential equation with piecewise constant argument ⋮ Characteristic fractional step finite difference method for nonlinear section coupled system ⋮ Careful numerical simulation and analysis of migration-accumulation of Tanhai region ⋮ Numerical method and application for three-dimensional nonlinear system of dynamics of fluids in porous media ⋮ Characteristic finite difference method and application for moving boundary value problem of coupled system ⋮ Numerical method and analysis of computational fluid mechanics for photoelectric semiconducting detector ⋮ The multistep finite difference fractional steps method for a class of viscous wave equations ⋮ Modified characteristic finite difference fractional step method for moving boundary value problem of percolation coupled system ⋮ Theory and application of characteristic finite element domain decomposition procedures for coupled system of dynamics of fluids in porous media

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