The large time error estimates of Fourier spectral method for generalized Benjamin-Bona-Mahony equations

Applied Mathematics-A Journal of Chinese Universities ◽

10.1007/s11766-003-0079-1 ◽

2003 ◽

Vol 18 (1) ◽

pp. 17-29

Author(s):

Yadong Shang ◽

Boling Guo

Keyword(s):

Spectral Method ◽

Error Estimates ◽

Fourier Spectral Method ◽

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Stability and error estimates of the SAV Fourier-spectral method for the phase field crystal equation

Advances in Computational Mathematics ◽

10.1007/s10444-020-09789-9 ◽

2020 ◽

Vol 46 (3) ◽

Author(s):

Xiaoli Li ◽

Jie Shen

Keyword(s):

Spectral Method ◽

Error Estimates ◽

Phase Field ◽

Fourier Spectral Method ◽

Phase Field Crystal

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Optimal error estimates of the Fourier spectral method for a class of nonlocal, nonlinear dispersive wave equations

Applied Numerical Mathematics ◽

10.1016/j.apnum.2008.03.042 ◽

2009 ◽

Vol 59 (5) ◽

pp. 988-1010 ◽

Author(s):

Zhenguo Deng ◽

Heping Ma

Keyword(s):

Spectral Method ◽

Error Estimates ◽

Wave Equations ◽

Optimal Error Estimates ◽

Dispersive Wave ◽

Fourier Spectral Method ◽

Optimal Error ◽

Nonlinear Dispersive Wave Equations ◽

Nonlinear Dispersive Wave ◽

Nonlocal Nonlinear

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Unconditional Energy Dissipation and Error Estimates of the SAV Fourier Spectral Method for Nonlinear Fractional Generalized Wave Equation

Journal of Scientific Computing ◽

10.1007/s10915-021-01534-8 ◽

2021 ◽

Vol 88 (1) ◽

Author(s):

Nan Wang ◽

Meng Li ◽

Chengming Huang

Keyword(s):

Wave Equation ◽

Energy Dissipation ◽

Spectral Method ◽

Error Estimates ◽

Fourier Spectral Method ◽

Generalized Wave Equation

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Fourier-spectral-method implementation of deformation in the phase-field crystal model: Further development

10.1063/5.0022984 ◽

2020 ◽

Author(s):

Nirand Pisutha-Arnond

Keyword(s):

Spectral Method ◽

Phase Field ◽

Fourier Spectral Method ◽

Crystal Model ◽

Further Development ◽

Phase Field Crystal

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A priori error estimates of a Jacobi spectral method for nonlinear systems of fractional boundary value problems and related Volterra-Fredholm integral equations with smooth solutions

Numerical Algorithms ◽

10.1007/s11075-019-00743-5 ◽

2019 ◽

Vol 84 (1) ◽

pp. 63-89 ◽

Author(s):

Mahmoud A. Zaky ◽

Ibrahem G. Ameen

Keyword(s):

Nonlinear Systems ◽

Boundary Value Problems ◽

Integral Equations ◽

Spectral Method ◽

Error Estimates ◽

A Priori ◽

Fredholm Integral Equations ◽

Smooth Solutions ◽

Priori Error Estimates ◽

Fractional Boundary Value Problems

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A fourier spectral method to solve high order on-surface radiation boundary conditions in electromagnetics

2017 10th Jordanian International Electrical and Electronics Engineering Conference (JIEEEC) ◽

10.1109/jieeec.2017.8051402 ◽

2017 ◽

Author(s):

Adel Al Weshah ◽

S. I. Hariharan

Keyword(s):

Boundary Conditions ◽

Spectral Method ◽

Surface Radiation ◽

Fourier Spectral Method ◽

Radiation Boundary Conditions ◽

Radiation Boundary

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On the Time Splitting Spectral Method for the Complex Ginzburg–Landau Equation in the Large Time and Space Scale Limit

SIAM Journal on Scientific Computing ◽

10.1137/070700711 ◽

2008 ◽

Vol 30 (5) ◽

pp. 2466-2487 ◽

Author(s):

Pierre Degond ◽

Shi Jin ◽

Min Tang

Keyword(s):

Spectral Method ◽

Landau Equation ◽

Time And Space ◽

Ginzburg Landau ◽

Space Scale ◽

Ginzburg Landau Equation ◽

Time Splitting ◽

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Fourier spectral method with an adaptive time strategy for nonlinear fractional Schrödinger equation

Numerical Methods for Partial Differential Equations ◽

10.1002/num.22453 ◽

2019 ◽

Vol 36 (4) ◽

pp. 823-838

Author(s):

Haidong Qu ◽

Zihang She

Keyword(s):

Schrödinger Equation ◽

Spectral Method ◽

Schrodinger Equation ◽

Fourier Spectral Method ◽

Fractional Schrödinger Equation ◽

Adaptive Time ◽

Nonlinear Fractional Schrödinger Equation ◽

Fractional Schrodinger Equation

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Long time error estimates of IFE methods for the unsteady multi-layer porous wall model

Applied Numerical Mathematics ◽

10.1016/j.apnum.2020.05.001 ◽

2020 ◽

Vol 156 ◽

pp. 303-321

Author(s):

Huili Zhang ◽

Xinlong Feng ◽

Kun Wang

Keyword(s):

Error Estimates ◽

Porous Wall ◽

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Error estimates of a trigonometric integrator sine pseudo-spectral method for the extended Fisher–Kolmogorov equation

Applied Numerical Mathematics ◽

10.1016/j.apnum.2018.04.010 ◽

2018 ◽

Vol 131 ◽

pp. 39-53 ◽

Author(s):

Xin Li ◽

Luming Zhang

Keyword(s):

Spectral Method ◽

Error Estimates ◽

Kolmogorov Equation ◽

Pseudo Spectral Method ◽

Pseudo Spectral

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