Mixed Spectral and Pseudospectral Methods for a Nonlinear Strongly Damped Wave Equation in an Exterior Domain

نویسندگان

  • Zhong-Qing Wang
  • Rong Zhang
  • R. Zhang
چکیده

The aim of this paper is to develop the mixed spectral and pseudospectral methods for nonlinear problems outside a disc, using Fourier and generalized Laguerre functions. As an example, we consider a nonlinear strongly damped wave equation. The mixed spectral and pseudospectral schemes are proposed. The convergence is proved. Numerical results demonstrate the efficiency of this approach. AMS subject classifications: 65N35, 41A05, 33C45, 35L05

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تاریخ انتشار 2011