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Volume 4, Issue 2
Mixed Spectral and Pseudospectral Methods for a Nonlinear Strongly Damped Wave Equation in an Exterior Domain

Zhong-Qing Wang & Rong Zhang

DOI: 10.4208/nmtma.2011.42s.8

Numer. Math. Theor. Meth. Appl., 4 (2011), pp. 255-282.

Published online: 2011-04

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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

Mixed spectral and pseudospectral methods, exterior problems, strongly damped wave equation.

  • AMS Subject Headings

65N35, 41A05, 33C45, 35L05

  • Copyright

COPYRIGHT: © Global Science Press

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@Article{NMTMA-4-255, author = {Zhong-Qing Wang and Rong Zhang}, title = {Mixed Spectral and Pseudospectral Methods for a Nonlinear Strongly Damped Wave Equation in an Exterior Domain}, journal = {Numerical Mathematics: Theory, Methods and Applications}, year = {2011}, volume = {4}, number = {2}, pages = {255--282}, 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.

}, issn = {2079-7338}, doi = {https://doi.org/10.4208/nmtma.2011.42s.8}, url = {http://global-sci.org/intro/article_detail/nmtma/5968.html} }
TY - JOUR T1 - Mixed Spectral and Pseudospectral Methods for a Nonlinear Strongly Damped Wave Equation in an Exterior Domain AU - Zhong-Qing Wang & Rong Zhang JO - Numerical Mathematics: Theory, Methods and Applications VL - 2 SP - 255 EP - 282 PY - 2011 DA - 2011/04 SN - 4 DO - http://doi.org/10.4208/nmtma.2011.42s.8 UR - https://global-sci.org/intro/article_detail/nmtma/5968.html KW - Mixed spectral and pseudospectral methods, exterior problems, strongly damped wave equation. AB -

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.

Zhong-Qing Wang and Rong Zhang. (2011). Mixed Spectral and Pseudospectral Methods for a Nonlinear Strongly Damped Wave Equation in an Exterior Domain. Numerical Mathematics: Theory, Methods and Applications. 4 (2). 255-282. doi:10.4208/nmtma.2011.42s.8
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