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A fourth-order exponential wave integrator Fourier pseudo-spectral method for the Klein–Gordon equation

Applied Mathematics Letters, 2020
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Bingquan Ji
exaly   +2 more sources

Dissipation-preserving Fourier pseudo-spectral method for the space fractional nonlinear sine–Gordon equation with damping

Mathematics and Computers in Simulation, 2021
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Dongdong Hu, Wenjun Cai, Zhuangzhi Xu
exaly   +3 more sources

Stability and convergence analysis of Fourier pseudo-spectral method for FitzHugh-Nagumo model

Applied Numerical Mathematics, 2020
This article discusses the stability and convergence of the Fourier pseudo-spectral scheme coupled with several linearized finite difference methods for the FitzHugh-Nagumo model. The approach relies on the use of the first- and second-order scheme for time discretization and Fourier pseudo-spectral method for spatial discretization. By constructing an
Jinrong Wang
exaly   +2 more sources

Error estimate of Fourier pseudo-spectral method for multidimensional nonlinear complex fractional Ginzburg–Landau equations

Applied Mathematics Letters, 2019
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Aiguo Xiao, Xueyang Li
exaly   +2 more sources

A linearly-implicit and conservative Fourier pseudo-spectral method for the 3D Gross–Pitaevskii equation with angular momentum rotation

Computer Physics Communications, 2020
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Jin Cui, Wenjun Cai, Yushun Wang
exaly   +2 more sources

Optimal error estimate of a conformal Fourier pseudo‐spectral method for the damped nonlinear Schrödinger equation

Numerical Methods for Partial Differential Equations, 2018
In this article, a Fourier pseudospectral method, which preserves the conforal conservation la, is proposed for solving the damped nonlinear Schrödinger equation. Based on the energy method and the semi‐norm equivalence between the Fourier pseudospectral method and the finite difference method, a priori estimate for the new method is established, which
Chaolong Jiang   +2 more
exaly   +3 more sources

A dissipative finite difference Fourier pseudo-spectral method for the symmetric regularized long wave equation with damping mechanism

Applied Numerical Mathematics, 2020
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Bingquan Ji
exaly   +3 more sources

Direct/split invariant-preserving Fourier pseudo-spectral methods for the rotation-two-component Camassa–Holm system with peakon solitons

Computer Physics Communications
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Qifeng Zhang
exaly   +3 more sources

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