Year: 2017
Author: Zhenguo Deng
Journal of Mathematical Study, Vol. 50 (2017), Iss. 3 : pp. 291–306
Abstract
An optimal error estimate in $L^2$-norm for Fourier spectral method is presented for the Kawahara equation with periodic boundary conditions. A numerical example is provided to confirm the theoretical analysis. The method and proving skills are also applicable to the periodic boundary problems for some nonlinear dispersive wave equations provided that the dispersive operator is bounded and antisymmetric and commutes with differentiation.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/jms.v50n3.17.06
Journal of Mathematical Study, Vol. 50 (2017), Iss. 3 : pp. 291–306
Published online: 2017-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 16
Keywords: Fourier spectral method Kawahara equation error estimate.