Artificial boundary conditions for the Burgers equation on the plane

Nadaniela Egidi and Pierluigi Maponi

Applied Mathematics and Computation, 2016, vol. 286, issue C, 1-14

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.

Keywords: Burgers equation; Boundless domain; Fourier transform; Finite element method (search for similar items in EconPapers)
Date: 2016
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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:286:y:2016:i:c:p:1-14

DOI: 10.1016/j.amc.2016.04.008

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