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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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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An efficient numerical method for the modified regularized long wave equation using Fourier spectral method

Journal of the Association of Arab Universities for Basic and Applied Sciences ◽

10.1016/j.jaubas.2016.10.002 ◽

2017 ◽

Vol 24 (1) ◽

pp. 198-205

Author(s):

Hany N. Hassan

Keyword(s):

Wave Equation ◽

Numerical Method ◽

Spectral Method ◽

Fourier Spectral Method ◽

Long Wave ◽

Regularized Long Wave Equation

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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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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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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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Multidomain spectral method for the helically reduced wave equation

Journal of Computational Physics ◽

10.1016/j.jcp.2007.08.032 ◽

2007 ◽

Vol 227 (2) ◽

pp. 1126-1161 ◽

Author(s):

Stephen R. Lau ◽

Richard H. Price

Keyword(s):

Wave Equation ◽

Spectral Method

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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 solution of homogeneous generalized wave equation

Journal of Mathematical Physics ◽

10.1063/1.529873 ◽

1992 ◽

Vol 33 (11) ◽

pp. 3757-3758 ◽

Author(s):

E. Capelas de Oliveira

Keyword(s):

Wave Equation ◽

Generalized Wave Equation

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Numerical Solution Of An Elastic Wave Equation Using The Spectral Method

Harmonization of Seismic Hazard in Vrancea Zone - NATO Science for Peace and Security Series C: Environmental Security ◽

10.1007/978-1-4020-9242-8_19 ◽

2009 ◽

pp. 319-327

Author(s):

A. Zaicenco ◽

V. Alkaz

Keyword(s):

Wave Equation ◽

Elastic Wave ◽

Numerical Solution ◽

Spectral Method ◽

Elastic Wave Equation

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