A New Numerical Approximation Method for Two-Dimensional Wave Equation with Neumann Damped Boundary. (1st June 2020)

• Record Type: Journal Article
• Authors: Liu, Jiankang; Zhang, Suying
• Other Names: Xu Honglei Academic Editor.
• Is Part Of: Complexity. Volume 2020(2020)
• Publication Date: 2020-06-01
• Subjects: Chaotic behavior in systems -- Periodicals; Complexity (Philosophy) -- Periodicals; 003
• DOI: 10.1155/2020/2020161
• Languages: English
• ISSNs: 1076-2787

Abstract

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 L 2 norm. The theoretical result is verified by a numerical experiment.