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

Published online by Cambridge University Press:  28 May 2015

Zhong-Qing Wang*
Affiliation:
Department of Mathematics, Shanghai Normal University, Shanghai, 200234, P. R. China Scientific Computing Key Laboratory of Shanghai Universities Division of Computational Science of E-institute of Shanghai Universities
Rong Zhang*
Affiliation:
Department of Mathematics, Shanghai Normal University, Shanghai, 200234, P. R. China Scientific Computing Key Laboratory of Shanghai Universities Division of Computational Science of E-institute of Shanghai Universities
*
Corresponding author.Email address:[email protected]
Corresponding author.Email address:[email protected]
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Abstract

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.

Type
Research Article
Copyright
Copyright © Global Science Press Limited 2011

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