Artificial boundary method for two-dimensional Burgers' equation

DOI10.1016/j.camwa.2007.11.047zbMath1145.65321OpenAlexW2015983313WikidataQ57692507 ScholiaQ57692507MaRDI QIDQ950055

Jiwei Zhang, Xiao-Nan Wu

Publication date: 22 October 2008

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2007.11.047

zbMATH Keywords

stability analysisunbounded domainartificial boundary conditionstwo-dimensional Burgers equationDirichlet to Neumann method

Mathematics Subject Classification ID

Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06)

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A novel finite difference scheme for Burgers' equation on unbounded domains ⋮ Numerical Solution of the Nonlocal Diffusion Equation on the Real Line ⋮ A linearized difference scheme for semilinear parabolic equations with nonlinear absorbing boundary conditions ⋮ Numerical blow-up of semilinear parabolic PDEs on unbounded domains in \(\mathbb R^{2}\) ⋮ Artificial boundary conditions for the Burgers equation on the plane ⋮ Artificial boundary conditions for nonlinear time fractional Burgers' equation on unbounded domains ⋮ An integral equation method for the numerical solution of the Burgers equation ⋮ Efficient implementation to numerically solve the nonlinear time fractional parabolic problems on unbounded spatial domain ⋮ Numerical computations of nonlocal Schrödinger equations on the real line

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