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

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  • Jiankang Liu
  • Suying Zhang

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.

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  • Jiankang Liu & Suying Zhang, 2020. "A New Numerical Approximation Method for Two-Dimensional Wave Equation with Neumann Damped Boundary," Complexity, Hindawi, vol. 2020, pages 1-14, June.
    • Handle: RePEc:hin:complx:2020161
    DOI: 10.1155/2020/2020161
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