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Artificial boundary conditions for the Burgers equation on the plane

Author

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  • Egidi, Nadaniela
  • Maponi, Pierluigi

Abstract

The numerical solution of the initial value problem for the two-dimensional Burgers equation on the whole plane is considered. Usual techniques, like finite difference methods and finite element methods cannot be directly applied for the solution of this problem, because the corresponding domain is unbounded. We propose a new method to overcome this difficulty. The efficiency of the proposed method is tested by several numerical examples.

Suggested Citation

  • Egidi, Nadaniela & Maponi, Pierluigi, 2016. "Artificial boundary conditions for the Burgers equation on the plane," Applied Mathematics and Computation, Elsevier, vol. 286(C), pages 1-14.
    • Handle: RePEc:eee:apmaco:v:286:y:2016:i:c:p:1-14
    DOI: 10.1016/j.amc.2016.04.008
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    References listed on IDEAS

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    1. Zhang, Jianying & Yan, Guangwu, 2008. "Lattice Boltzmann method for one and two-dimensional Burgers equation," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 387(19), pages 4771-4786.
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