TY - JOUR
T1 - Mixed Spectral and Pseudospectral Methods for a Nonlinear Strongly Damped Wave Equation in an Exterior Domain
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 - <p style="text-align: justify;">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.</p>