Space-time spectral method for the Cattaneo equation with time fractional derivative

Applied Mathematics and Computation ◽

10.1016/j.amc.2018.12.050 ◽

2019 ◽

Vol 349 ◽

pp. 325-336 ◽

Author(s):

Hui Li ◽

Wei Jiang ◽

Wenya Li

Keyword(s):

Fractional Derivative ◽

Spectral Method ◽

Time Spectral Method ◽

Time Fractional Derivative

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A space-time spectral method for multi-dimensional Sobolev equations

Journal of Mathematical Analysis and Applications ◽

10.1016/j.jmaa.2021.124937 ◽

2021 ◽

Vol 499 (1) ◽

pp. 124937

Author(s):

Siqin Tang ◽

Hong Li ◽

Baoli Yin

Keyword(s):

Spectral Method ◽

Sobolev Equations ◽

Time Spectral Method

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Analytical Solutions of the Space-Time Fractional Derivative of Advection Dispersion Equation

Mathematical Problems in Engineering ◽

10.1155/2013/853127 ◽

2013 ◽

Vol 2013 ◽

pp. 1-9 ◽

Author(s):

Abdon Atangana ◽

Adem Kilicman

Keyword(s):

Fractional Derivative ◽

Dispersion Equation ◽

Analytical Solutions ◽

Advection Dispersion ◽

Time Fractional Derivative

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A space-time lower–upper symmetric Gauss–Seidel scheme for the time-spectral method

International Journal of Computational Fluid Dynamics ◽

10.1080/10618562.2016.1220551 ◽

2016 ◽

Vol 30 (5) ◽

pp. 337-355 ◽

Author(s):

Lei Zhan ◽

Juntao Xiong ◽

Feng Liu

Keyword(s):

Spectral Method ◽

Lower Upper ◽

Time Spectral Method

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Multi-Domain Space-Time Spectral Method in Time for Solving Fifth-Order Partial Differential Equation

Pure Mathematics ◽

10.12677/pm.2021.116117 ◽

2021 ◽

Vol 11 (06) ◽

pp. 1031-1047

Author(s):

荣玉余

Keyword(s):

Differential Equation ◽

Partial Differential Equation ◽

Spectral Method ◽

Order Partial Differential Equation ◽

Partial Differential ◽

Domain Space ◽

Time Spectral Method ◽

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Space-time spectral method for two-dimensional semilinear parabolic equations

Mathematical Methods in the Applied Sciences ◽

10.1002/mma.3532 ◽

2015 ◽

Vol 39 (7) ◽

pp. 1646-1661 ◽

Author(s):

Wenjie Liu ◽

Jiebao Sun ◽

Boying Wu

Keyword(s):

Spectral Method ◽

Parabolic Equations ◽

Semilinear Parabolic Equations ◽

Two Dimensional ◽

Time Spectral Method ◽

Semilinear Parabolic

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An approximate solution to a moving boundary problem with space–time fractional derivative in fluvio-deltaic sedimentation process

Ain Shams Engineering Journal ◽

10.1016/j.asej.2012.12.005 ◽

2013 ◽

Vol 4 (4) ◽

pp. 889-895 ◽

Author(s):

Rajeev ◽

Mohan Singh Kushwaha ◽

Ajay Kumar

Keyword(s):

Approximate Solution ◽

Fractional Derivative ◽

Boundary Problem ◽

Moving Boundary ◽

Moving Boundary Problem ◽

Sedimentation Process ◽

Deltaic Sedimentation ◽

Time Fractional Derivative

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Space–time spectral method for a weakly singular parabolic partial integro-differential equation on irregular domains

Computers & Mathematics with Applications ◽

10.1016/j.camwa.2014.03.016 ◽

2014 ◽

Vol 67 (10) ◽

pp. 1884-1904 ◽

Author(s):

Farhad Fakhar-Izadi ◽

Mehdi Dehghan

Keyword(s):

Differential Equation ◽

Spectral Method ◽

Irregular Domains ◽

Integro Differential Equation ◽

Weakly Singular ◽

Time Spectral Method

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A space-time spectral method for the 1-D Maxwell equation

AIMS Mathematics ◽

10.3934/math.2021444 ◽

2021 ◽

Vol 6 (7) ◽

pp. 7649-7668

Author(s):

Hui-qing Liao ◽

◽

Ying Fu ◽

He-ping Ma

Keyword(s):

Spectral Method ◽

Maxwell Equation ◽

Time Spectral Method

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A Space-Time Spectral Method for One-Dimensional Reaction-Diffusion Equation

Pure Mathematics ◽

10.12677/pm.2021.115090 ◽

2021 ◽

Vol 11 (05) ◽

pp. 752-766

Author(s):

欣怡朱

Keyword(s):

Diffusion Equation ◽

Spectral Method ◽

Reaction Diffusion ◽

Reaction Diffusion Equation ◽

One Dimensional ◽

Time Spectral Method

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Error estimates of the space–time spectral method for parabolic control problems

Computers & Mathematics with Applications ◽

10.1016/j.camwa.2017.09.018 ◽

2018 ◽

Vol 75 (2) ◽

pp. 335-348

Author(s):

Fenglin Huang ◽

Zhong Zheng ◽

Yucheng Peng

Keyword(s):

Spectral Method ◽

Error Estimates ◽

Control Problems ◽

Time Spectral Method

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