A New Numerical Approximation Method for Two-Dimensional Wave Equation with Neumann Damped Boundary
Joint Authors
Source
Issue
Vol. 2020, Issue 2020 (31 Dec. 2020), pp.1-14, 14 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2020-06-01
Country of Publication
Egypt
No. of Pages
14
Main Subjects
Abstract EN
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 L2 norm.
The theoretical result is verified by a numerical experiment.
American Psychological Association (APA)
Liu, Jiankang& Zhang, Suying. 2020. A New Numerical Approximation Method for Two-Dimensional Wave Equation with Neumann Damped Boundary. Complexity،Vol. 2020, no. 2020, pp.1-14.
https://search.emarefa.net/detail/BIM-1139992
Modern Language Association (MLA)
Liu, Jiankang& Zhang, Suying. A New Numerical Approximation Method for Two-Dimensional Wave Equation with Neumann Damped Boundary. Complexity No. 2020 (2020), pp.1-14.
https://search.emarefa.net/detail/BIM-1139992
American Medical Association (AMA)
Liu, Jiankang& Zhang, Suying. A New Numerical Approximation Method for Two-Dimensional Wave Equation with Neumann Damped Boundary. Complexity. 2020. Vol. 2020, no. 2020, pp.1-14.
https://search.emarefa.net/detail/BIM-1139992
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1139992
