The new numerical method for solving the system of two-dimensional Burgers equations
From MaRDI portal
Publication:662249
DOI10.1016/j.camwa.2011.08.044zbMath1232.65133OpenAlexW1976222767MaRDI QIDQ662249
Rongpei Zhang, Xi-Jun Yu, Guo-Zhong Zhao
Publication date: 21 February 2012
Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.camwa.2011.08.044
heat equationBurgers equationsHopf-Cole transformationlocal discontinuous Galerkin finite element method
KdV equations (Korteweg-de Vries equations) (35Q53) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60)
Related Items
An implicit finite difference scheme for the numerical solutions of two-dimensional Burgers equations ⋮ A reduced order modeling method based on GNAT-embedded hybrid snapshot simulation ⋮ Numeric solution of advection–diffusion equations by a discrete time random walk scheme ⋮ A weak Galerkin finite element method for solving time-fractional coupled Burgers' equations in two dimensions ⋮ Numerical study for two types variable-order Burgers' equations with proportional delay ⋮ A space-time pseudospectral method for solving multi-dimensional quasi-linear parabolic partial differential (Burgers') equations ⋮ A new efficient method for solving two-dimensional nonlinear system of Burger's differential equations ⋮ A lattice Boltzmann model based on Cole-Hopf transformation for \(N\)-dimensional coupled Burgers' equations ⋮ Semi-discrete and fully discrete HDG methods for Burgers' equation ⋮ A stability preserved time-integration method for nonlinear advection-diffusion-reaction processes ⋮ A composite algorithm for numerical solutions of two-dimensional coupled Burgers' equations ⋮ An automatic node-adaptive scheme applied with a RBF-collocation meshless method ⋮ A highly accurate trivariate spectral collocation method of solution for two-dimensional nonlinear initial-boundary value problems ⋮ Poly-Sinc Collocation Method for Solving Coupled Burgers’ Equations with a Large Reynolds Number ⋮ Multistep methods for the numerical simulation of two-dimensional Burgers' equation
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Variational iteration method for solving Burgers and coupled Burgers equations
- Numerical solutions of two-dimensional Burgers equations by lattice Boltzmann method
- Numerical solution of the coupled viscous Burgers equation
- A Chebyshev spectral collocation method for solving Burgers'-type equations
- Numerical solution of the Burgers' equation by local discontinuous Galerkin method
- On a finite difference scheme for Burgers' equation
- Numerical solutions of coupled Burgers' equation
- Numerical solution of one-dimensional Burgers equation: Explicit and exact-explicit finite difference methods
- A fully implicit finite-difference scheme for two-dimensional Burgers' equations
- A finite element approach for solution of Burgers' equation
- Development of a sixth-order two-dimensional convection-diffusion scheme via Cole-Hopf transformation
- A mixed finite difference and boundary element approach to one-dimensional Burgers' equation
- A numerical solution of Burgers' equation by modified Adomian method
- Numerical solution of Burgers' equation by quadratic B-spline finite elements
- Numerical solutions of the Burgers' equation by the least-squares quadratic B-spline finite element method
- A linearized numerical scheme for Burgers-like equations
- A direct variational method applied to Burgers' equation
- A numerical solution of Burgers' equation by finite element method constructed on the method of discretization in time
- An A Priori Error Analysis of the Local Discontinuous Galerkin Method for Elliptic Problems
- An efficient numerical method for solving coupled Burgers' equation by combining homotopy perturbation and pade techniques
- Numerical solution of Burger's equation
- Differential Quadrature Method for Two-Dimensional Burgers' Equations
- Generating exact solutions of the two-dimensional Burgers' equations
- A finite element method for Burgers' equation in hydrodynamics
- The Local Discontinuous Galerkin Method for Time-Dependent Convection-Diffusion Systems
- A fourth-order finite-difference method for solving the system of two-dimensional Burgers' equations
- The partial differential equation ut + uux = μxx
- On a quasi-linear parabolic equation occurring in aerodynamics
