Simple, accurate, and efficient revisions to MacCormack and Saulyev schemes: high Péclet numbers

DOI10.1016/j.amc.2006.08.008zbMath1114.65103OpenAlexW2019539431WikidataQ60571938 ScholiaQ60571938MaRDI QIDQ876640

Guoyuan Li, C. Rhett Jackson

Publication date: 26 April 2007

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

Full work available at URL: https://doi.org/10.1016/j.amc.2006.08.008

zbMATH Keywords

numerical examplecomparison of methodsfinite differencesCrank-Nicolson schemeMacCormack schemebackward-time/centered-space schemeforward-time/centered-space schemeone-dimensional advection-dispersion-reaction equationsSaulyev schemestream water quality modeling

Mathematics Subject Classification ID

Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Initial value problems for second-order parabolic equations (35K15)

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Numerical simulation of a one-dimensional water-quality model in a stream using a Saulyev technique with quadratic interpolated initial-boundary conditions ⋮ A numerical treatment of nondimensional form of water quality model in a nonuniform flow stream using Saulyev scheme ⋮ Wavelet based schemes for linear advection-dispersion equation ⋮ Unconditional stable numerical techniques for a water-quality model in a non-uniform flow stream ⋮ Unnamed Item ⋮ Unnamed Item ⋮ An efficient alternating direction explicit method for solving a nonlinear partial differential equation ⋮ A numerical computation of a non-dimensional form of stream water quality model with hydrodynamic advection-dispersion-reaction equations

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