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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  and
Rong Zhang
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:zqwang@shnu.edu.cn
Corresponding author.Email address:zhangrong0716@163.com
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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.

Keywords

65N3541A0533C4535L05Mixed spectral and pseudospectral methodsexterior problemsstrongly damped wave equation
Type
Research Article
Information
Numerical Mathematics: Theory, Methods and Applications , Volume 4 , Issue 2 , May 2011 , pp. 255 - 282
Copyright
Copyright © Global Science Press Limited 2011

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