A novel finite difference scheme for Burgers' equation on unbounded domains

DOI10.1016/j.apnum.2016.09.002zbMath1353.65092OpenAlexW2519555245MaRDI QIDQ338514

Xin Zhao, Quan Zheng, Yu Feng Liu

Publication date: 7 November 2016

Published in: Applied Numerical Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.apnum.2016.09.002

zbMATH Keywords

stabilityconvergencenumerical examplefinite difference methodunbounded domainerror estimateartificial boundary conditionmethod of reduction of ordernonhomogeneous Burgers' equation

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) 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) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15)

Related Items (4)

A high-order accurate finite difference scheme for the KdV equation with time-periodic boundary forcing ⋮ An integral equation method for the numerical solution of the Burgers equation ⋮ Time-discretization schema for a semilinear pseudo-parabolic equation with integral conditions ⋮ A difference method with intrinsic parallelism for the variable-coefficient compound KdV-Burgers equation

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