Numer. Math. Theor. Meth. Appl., 4 (2011), pp. 255-282.
Published online: 2011-04
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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} }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.