The Burgers’ equation models a variety of physical phenomena, including fluid dynamics, nonlinear acoustics, gas dynamics, and traffic flow. It can be considered as a simplified version of the Navier-Stokes equation in the context of fluid dynamics. In recent years, there has been growing interest among researchers in developing numerical methods for solving the Burgers’ equation.

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Finite Difference Methods for the Burgers’ Equation

  • Zhi-Zhong Sun,
  • Qifeng Zhang,
  • Guang-hua Gao

摘要

The Burgers’ equation models a variety of physical phenomena, including fluid dynamics, nonlinear acoustics, gas dynamics, and traffic flow. It can be considered as a simplified version of the Navier-Stokes equation in the context of fluid dynamics. In recent years, there has been growing interest among researchers in developing numerical methods for solving the Burgers’ equation.