A higher‐order predictor–corrector scheme for two‐dimensional advection–diffusion equation

DOI10.1002/fld.1528zbMath1132.65081OpenAlexW2158594685WikidataQ126254668 ScholiaQ126254668MaRDI QIDQ5441401

Christina W. Tsai, Chuanjian Man

Publication date: 13 February 2008

Published in: International Journal for Numerical Methods in Fluids (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/fld.1528

zbMATH Keywords

algorithmstabilitynumerical examplesvon Neumann methodpredictor-corrector methodfinite-difference schemestaggered gridadvection-diffusion equationhigh-order numerical schemesartificial diffusion term

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) Initial value problems for second-order parabolic equations (35K15)

Related Items (6)

A novel three-level time-split MacCormack scheme for two-dimensional evolutionary linear convection-diffusion-reaction equation with source term ⋮ A Six-Level Time-Split Leap-Frog/ Crank–Nicolson Approach for Two-Dimensional Nonlinear Time-Dependent Convection Diffusion Reaction Equation ⋮ Numerical solution of advection-diffusion equation using a sixth-order compact finite difference method ⋮ Numerical solutions of two-dimensional unsteady convection–diffusion problems using modified bi-cubicB-spline finite elements ⋮ Accuracy improvement of a predictor-corrector compact difference scheme for the system of two-dimensional coupled nonlinear wave equations ⋮ Accurate simulation of contaminant transport using high-order compact finite difference schemes

Cites Work

• Theory of Laminar Flames
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