Hermite pesudospectral method and modified Hermite spectral method for long-short wave equations


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.


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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


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