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Linearly Implicit Energy-preserving Fourier Pseudospectral Schemes For The Complex Modified Korteweg-de Vries Equation

We propose two linearly implicit energy-preserving schemes for the complex modified Korteweg–de Vries equation, based on the invariant energy quadratization method. First, a new variable is introduced and a new Hamiltonian system is constructed for this equation. Then the Fourier pseudospectral method is used for the space discretization and the Crank–Nicolson leap-frog schemes for the time discretization. The proposed schemes are linearly implicit, which is only needed to solve a linear system at each time step. The fully discrete schemes can be shown to conserve both mass and energy in the discrete setting. Some numerical examples are also presented to validate the effectiveness of the proposed schemes.

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Informasi Detail

Judul Seri

THE ANZIAM JOURNAL; Vol.62 No.3 July 2020

No. Panggil

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Penerbit

: .,

Deskripsi Fisik

p. 256 - 273

Bahasa

English

ISBN/ISSN

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Klasifikasi

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Tipe Isi

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Tipe Media

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Tipe Pembawa

-

Edisi

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Subjek

ENERGY
MASS
INVARIANT ENERGY QUADRATIZATION METHOD
FOURIER PSEUDO-SPECTRAL METHOD
COMPLEX MODIFIED KORTEWEG-DE VRIES EQUATION

Info Detail Spesifik

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Pernyataan Tanggungjawab

Jin-Liang Yan, Lianghong Zheng, Ling Zhu, Fu Qiang Lu

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