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Multi-Symplectic Fourier Pseudospectral Method for the Kawahara Equation

Multi-Symplectic Fourier Pseudospectral Method for the Kawahara Equation
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Year:    2014

Communications in Computational Physics, Vol. 16 (2014), Iss. 1 : pp. 35–55

Abstract

In this paper, we derive a multi-symplectic Fourier pseudospectral scheme for the Kawahara equation with special attention to the relationship between the spectral differentiation matrix and discrete Fourier transform. The relationship is crucial for implementing the scheme efficiently. By using the relationship, we can apply the Fast Fourier transform to solve the Kawahara equation. The effectiveness of the proposed methods will be demonstrated by a number of numerical examples. The numerical results also confirm that the global energy and momentum are well preserved.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/10.4208/cicp.090313.041113a

Communications in Computational Physics, Vol. 16 (2014), Iss. 1 : pp. 35–55

Published online:    2014-01

AMS Subject Headings:    Global Science Press

Copyright:    COPYRIGHT: © Global Science Press

Pages:    21

Keywords:   

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