Finite difference/spectral element method for one and two-dimensional Riesz space fractional advection–dispersion equations

Mathematics and Computers in Simulation ◽

10.1016/j.matcom.2021.10.020 ◽

2021 ◽

Author(s):

Marziyeh Saffarian ◽

Akbar Mohebbi

Keyword(s):

Finite Difference ◽

Spectral Element Method ◽

Spectral Element ◽

Riesz Space ◽

Two Dimensional ◽

Dispersion Equations ◽

Advection Dispersion ◽

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An energy-preserving Crank–Nicolson Galerkin spectral element method for the two dimensional nonlinear Schrödinger equation

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2018.05.025 ◽

2018 ◽

Vol 344 ◽

pp. 245-258 ◽

Author(s):

Haochen Li ◽

Zhenguo Mu ◽

Yushun Wang

Keyword(s):

Schrödinger Equation ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Spectral Element Method ◽

Spectral Element ◽

Nonlinear Schrodinger Equation ◽

Two Dimensional ◽

Nonlinear Schrödinger ◽

Element Method ◽

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A Hybrid Finite-difference and Spectral-element Method for Free-surface Topography Modeling

80th EAGE Conference and Exhibition 2018 ◽

10.3997/2214-4609.201800971 ◽

2018 ◽

Author(s):

P.P. Moghaddam ◽

A. Rahimi Dalkhani ◽

N. Keshavarz ◽

H. Beyrami ◽

M. Sharifi ◽

...

Keyword(s):

Free Surface ◽

Finite Difference ◽

Surface Topography ◽

Spectral Element Method ◽

Spectral Element ◽

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A novel ADI Galerkin spectral element method for the solution of two-dimensional time fractional subdiffusion equation

International Journal of Computer Mathematics ◽

10.1080/00207160.2020.1792450 ◽

2020 ◽

pp. 1-23

Author(s):

Marziyeh Saffarian ◽

Akbar Mohebbi

Keyword(s):

Spectral Element Method ◽

Spectral Element ◽

Two Dimensional ◽

Subdiffusion Equation ◽

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A two-dimensional adaptive spectral element method

10.2514/6.1997-1856 ◽

1997 ◽

Author(s):

C. Mavriplis ◽

L.-C. Hsu ◽

C. Mavriplis ◽

L.-C. Hsu

Keyword(s):

Spectral Element Method ◽

Spectral Element ◽

Two Dimensional ◽

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Finite element method for two-dimensional space-fractional advection–dispersion equations

Applied Mathematics and Computation ◽

10.1016/j.amc.2015.01.016 ◽

2015 ◽

Vol 257 ◽

pp. 553-565 ◽

Author(s):

Yanmin Zhao ◽

Weiping Bu ◽

Jianfei Huang ◽

Da-Yan Liu ◽

Yifa Tang

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Dimensional Space ◽

Two Dimensional ◽

Dispersion Equations ◽

Advection Dispersion ◽

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Investigation of a two-dimensional spectral element method for Helmholtz’s equation

Journal of Computational Physics ◽

10.1016/s0021-9991(03)00204-3 ◽

2003 ◽

Vol 189 (1) ◽

pp. 111-129 ◽

Author(s):

Omid Z. Mehdizadeh ◽

Marius Paraschivoiu

Keyword(s):

Spectral Element Method ◽

Spectral Element ◽

Two Dimensional ◽

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Interpretation of Complex-Step-Finite-Difference Method and It's Implementation with Spectral Element Method

10.1190/igc2017-329 ◽

2017 ◽

Author(s):

Su Zeming* ◽

Gao Jinghuai

Keyword(s):

Finite Difference ◽

Finite Difference Method ◽

Difference Method ◽

Spectral Element Method ◽

Spectral Element ◽

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Spectral element method and its application in analysing the vibration band gap properties of two-dimensional square lattices

Journal of Vibration and Control ◽

10.1177/1077546314531805 ◽

2014 ◽

Vol 22 (3) ◽

pp. 710-721 ◽

Author(s):

Zhi-Jing Wu ◽

Feng-Ming Li

Keyword(s):

Band Gap ◽

Spectral Element Method ◽

Spectral Element ◽

Vibration Band ◽

Two Dimensional ◽

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A spectral element method for two-dimensional wave propagation in horizontally layered saturated porous media

Computers & Structures ◽

10.1016/0045-7949(92)90455-9 ◽

1992 ◽

Vol 44 (4) ◽

pp. 717-728 ◽

Author(s):

G. Degrande ◽

G. De Roeck

Keyword(s):

Porous Media ◽

Wave Propagation ◽

Spectral Element Method ◽

Spectral Element ◽

Saturated Porous Media ◽

Two Dimensional ◽

Dimensional Wave ◽

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A two-dimensional spectral-element method for computing spherical-earth seismograms - I. Moment-tensor source

Geophysical Journal International ◽

10.1111/j.1365-246x.2006.03121.x ◽

2007 ◽

Vol 168 (3) ◽

pp. 1067-1092 ◽

Author(s):

Tarje Nissen-Meyer ◽

Alexandre Fournier ◽

F. A. Dahlen

Keyword(s):

Spectral Element Method ◽

Moment Tensor ◽

Spectral Element ◽

Two Dimensional ◽

Spherical Earth ◽

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