The pointwise error estimates of two energy-preserving fourth-order compact schemes for viscous Burgers' equation
type: Item
instance of: scholarly article
title: The pointwise error estimates of two energy-preserving fourth-order compact schemes for viscous Burgers' equation
zbMATH Open document ID: 1472.65103
author: Xuping Wang
author: Qifeng Zhang
author: Zhizhong Sun
published in: Advances in Computational Mathematics
publication date: 2021-05-18T00:00:00Z
Mathematics Subject Classification ID: 65M06
Mathematics Subject Classification ID: 65M15
Mathematics Subject Classification ID: 35Q53
zbMATH DE Number: 7349293
zbMATH Keywords: viscous Burgers' equation
zbMATH Keywords: compact scheme
zbMATH Keywords: conservation
zbMATH Keywords: solvability
zbMATH Keywords: pointwise error estimate
MaRDI profile type: Publication
full work available at URL: s10444-021-09848-9
OpenAlex ID: W3138360472
cites work: Finite difference discretization of the Kuramoto-Sivashinsky equation
cites work: Finite difference discretization of the cubic Schrödinger equation
cites work: Numerical solution of the Burgers' equation by automatic differentiation
cites work: A differential quadrature based numerical method for highly accurate solutions of Burgers' equation
cites work: Artificial boundary conditions for the linearized Benjamin-Bona-Mahony equation
cites work: Fourth-order compact schemes for the numerical simulation of coupled Burgers' equation
cites work: Crank-Nicolson method for the fractional diffusion equation with the Riesz fractional derivative
cites work: A three-point combined compact difference scheme
cites work: On a quasi-linear parabolic equation occurring in aerodynamics
cites work: An integral equation method for the numerical solution of the Burgers equation
cites work: Numerical study of the regularized long-wave equation. I: Numerical methods
cites work: Stability and convergence analysis of fully discrete Fourier collocation spectral method for 3-D viscous Burgers' equation
cites work: A finite difference approach for solution of Burgers' equation
cites work: Q4173075
cites work: Error estimation of Hermite spectral method for nonlinear partial differential equations
cites work: Spectral Vanishing Viscosity Method For Nonlinear Conservation Laws
cites work: Fourth-order finite difference method for solving Burgers' equation
cites work: The partial differential equation ut + uux = μxx
cites work: Convergence of Methods for the Numerical Solution of the Korteweg—de Vries Equation
cites work: Finite element approximation to global stabilization of the Burgers' equation by Neumann boundary feedback control law
cites work: Shock Layer Movement for Burgers’ equation
cites work: An implicit fourth-order compact finite difference scheme for one-dimensional Burgers' equation
cites work: A fourth-order finite-difference method for solving the system of two-dimensional Burgers' equations
cites work: The periodic problem for the Korteweg-de Vries equation
cites work: Numerical analysis of the Burgers' equation in the presence of uncertainty
cites work: A numerical solution of the Burgers' equation using septic \(B\)-splines
cites work: A sixth-order compact finite difference scheme to the numerical solutions of Burgers' equation
cites work: Numerical solution of Burgers' equation with high order splitting methods
cites work: On two linearized difference schemes for Burgers’ equation
cites work: An unconditionally stable and \(O(\tau^2+h^4)\) order \(L_\infty\) convergent difference scheme for linear parabolic equations with variable coefficients
cites work: Some implicit methods for the numerical solution of Burgers' equation
cites work: A compact finite difference method for solving Burgers' equation
cites work: Optimal Error Estimates of the Chebyshev--Legendre Spectral Method for Solving the Generalized Burgers Equation
cites work: The pointwise estimates of a conservative difference scheme for Burgers' equation
cites work: A Fourth-order Compact ADI scheme for Two-Dimensional Nonlinear Space Fractional Schrödinger Equation
DOI: 10.1007/S10444-021-09848-9
Recommended article: Pointwise error estimate and stability analysis of fourth-order compact difference scheme for time-fractional Burgers' equation
Recommended article: Pointwise error analysis of the BDF3 compact finite difference scheme for viscous Burgers' equations
Recommended article: Fourth-order compact schemes for the numerical simulation of coupled Burgers' equation
Recommended article: Q3842115
Recommended article: The pointwise estimates of a conservative difference scheme for Burgers' equation
Recommended article: Pointwise error estimates of compact difference scheme for mixed-type time-fractional Burgers' equation
Recommended article: Compact operator method of accuracy two in time and four in space for the numerical solution of coupled viscous Burgers' equations
Recommended article: An implicit fourth-order compact finite difference scheme for one-dimensional Burgers' equation
Recommended article: A fourth-order finite-difference method for solving the system of two-dimensional Burgers' equations
Recommended article: On the Fourth-Order Accurate Compact ADI Scheme for Solving the Unsteady Nonlinear Coupled Burgers' Equations
description: scientific article; zbMATH DE number 7349293