Hermite pesudospectral method and modified Hermite spectral method for long-short wave equations
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Authors
Zeting Liu
- School of Mathematics and Systems Science & LMIB, Beihang University, Beijing 100191, China.
Shujuan Lü
- School of Mathematics and Systems Science & LMIB, Beihang University, Beijing 100191, China.
Abstract
We consider the initial boundary value problem of the long-short wave equations on the whole line. Firstly, a fully discrete
Hermite pseudospectral scheme and modified Hermite spectral scheme are structured basing Hermite functions, respectively.
Secondly, we analyze the two kinds of schemes theoretically. The modified Hermite spectral scheme shows the superiority in
priori estimates, numerical stability and convergence. Thirdly, numerical experiments for the two schemes are presented to
confirm our theoretical analysis.
Share and Cite
ISRP Style
Zeting Liu, Shujuan Lü, Hermite pesudospectral method and modified Hermite spectral method for long-short wave equations, Journal of Nonlinear Sciences and Applications, 10 (2017), no. 4, 1487--1511
AMA Style
Liu Zeting, Lü Shujuan, Hermite pesudospectral method and modified Hermite spectral method for long-short wave equations. J. Nonlinear Sci. Appl. (2017); 10(4):1487--1511
Chicago/Turabian Style
Liu, Zeting, Lü, Shujuan. "Hermite pesudospectral method and modified Hermite spectral method for long-short wave equations." Journal of Nonlinear Sciences and Applications, 10, no. 4 (2017): 1487--1511
Keywords
- Long-short wave equations
- Hermite pseudospectral method
- modified Hermite spectral method
- convergence
- stability.
MSC
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