A New Numerical Approximation Method for Two-Dimensional Wave Equation with Neumann Damped Boundary

Jiankang Liu and Suying Zhang

Complexity, 2020, vol. 2020, 1-14

Abstract:

In this paper, a fully discretized finite difference scheme is derived for two-dimensional wave equation with damped Neumann boundary condition. By discrete energy method, the proposed difference scheme is proven to be of second-order convergence and of unconditional stability with respect to both initial conditions and right-hand term in a proper discretized norm. The theoretical result is verified by a numerical experiment.

Date: 2020
References: Add references at CitEc
Citations:

Downloads: (external link)
http://downloads.hindawi.com/journals/8503/2020/2020161.pdf (application/pdf)
http://downloads.hindawi.com/journals/8503/2020/2020161.xml (text/xml)

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:hin:complx:2020161

DOI: 10.1155/2020/2020161

Access Statistics for this article

More articles in Complexity from Hindawi
Bibliographic data for series maintained by Mohamed Abdelhakeem ().