A difference scheme for Burgers equation in an unbounded domain

DOI10.1016/j.amc.2008.12.052zbMath1214.65047OpenAlexW1968801277WikidataQ57692497 ScholiaQ57692497MaRDI QIDQ1008592

Xiao-Nan Wu, Zhi-zhong Sun

Publication date: 30 March 2009

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

Full work available at URL: https://doi.org/10.1016/j.amc.2008.12.052

zbMATH Keywords

stabilityconvergencenumerical exampleinitial-boundary value problemBurgers equationsolvabilityfinite differenceartificial boundary condition

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)

Related Items (6)

A novel finite difference scheme for Burgers' equation on unbounded domains ⋮ An artificial boundary method for the Hull-White model of American interest rate derivatives ⋮ A Fast Temporal Second Order Difference Scheme for the Fractional Sub-diffusion Equations on One Dimensional Space Unbounded Domain ⋮ The finite difference approximation for a class of fractional sub-diffusion equations on a space unbounded domain ⋮ A new high accuracy two-level implicit off-step discretization for the system of two space dimensional quasi-linear parabolic partial differential equations ⋮ Fast spectral collocation method for solving nonlinear time-delayed Burgers-type equations with positive power terms

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Convergence of difference scheme for heat equation in unbounded domains using artificial boundary conditions
• Numerical solutions for fractional KdV-Burgers equation by Adomian decomposition method
• A numerical method based on Crank-Nicolson scheme for Burgers' equation
• An efficient numerical scheme for Burger equation
• A fully implicit finite-difference scheme for two-dimensional Burgers' equations
• A mixed finite difference and boundary element approach to one-dimensional Burgers' equation
• Comparison of higher-order accurate schemes for solving the two-dimensional unsteady Burgers' equation
• The semi-approximate approach for solving Burgers' equation with high Reynolds number
• A numerical solution of Burgers' equation
• Applying multiquadric quasi-interpolation to solve Burgers' equation
• A numerical solution of the Burgers' equation using septic \(B\)-splines
• A numerical solution of Burgers' equation by pseudospectral method and Darvishi's preconditioning
• Quadratic B-spline finite element method for numerical solution of the Burgers' equation
• Numerical solution of Burgers' equation with restrictive Taylor approximation
• A finite difference approach for solution of Burgers' equation
• A numerical solution of Burgers' equation based on least squares approximation
• On numerical solutions of one-dimensional nonlinear Burgers' equation and convergence of the decomposition method
• A numerical solution of Burger's equation by time discretization of Adomian's decomposition method
• Fourth-order finite difference method for solving Burgers' equation
• A numerical solution of Burgers' equation by finite element method constructed on the method of discretization in time
• A parameter-uniform implicit difference scheme for solving time-dependent Burgers' equations
• A novel approach to Burgers' equation
• A Second-Order Accurate Linearized Difference Scheme for the Two- Dimensional Cahn-Hilliard Equation
• Energy properties preserving schemes for Burgers' equation
• The alternating segment difference scheme for Burgers' equation

This page was built for publication: A difference scheme for Burgers equation in an unbounded domain