A class of moving Kriging interpolation-based DQ methods to simulate multi-dimensional space Galilei invariant fractional advection-diffusion equation

Numerical Algorithms ◽

10.1007/s11075-021-01188-5 ◽

2021 ◽

Author(s):

Mostafa Abbaszadeh ◽

Mehdi Dehghan

Keyword(s):

Diffusion Equation ◽

Dimensional Space ◽

Kriging Interpolation ◽

Moving Kriging Interpolation ◽

Advection Diffusion Equation ◽

Advection Diffusion

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Analytical Solutions of One-Dimensional Space-Fractional Advection–Diffusion Equation for Sediment Suspension Using Homotopy Analysis Method

Journal of Engineering Mechanics ◽

10.1061/(asce)em.1943-7889.0001625 ◽

2019 ◽

Vol 145 (7) ◽

pp. 04019048 ◽

Author(s):

Snehasis Kundu

Keyword(s):

Diffusion Equation ◽

Analytical Solutions ◽

Homotopy Analysis Method ◽

Dimensional Space ◽

Sediment Suspension ◽

Analysis Method ◽

One Dimensional ◽

Advection Diffusion Equation ◽

Advection Diffusion ◽

Homotopy Analysis

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Numerical algorithm for three-dimensional space fractional advection diffusion equation

IOP Conference Series Earth and Environmental Science ◽

10.1088/1755-1315/69/1/012127 ◽

2017 ◽

Vol 69 ◽

pp. 012127

Author(s):

Jiahui Hu ◽

Jungang Wang ◽

Zhanbin Yuan ◽

Zongze Yang ◽

Yufeng Nie

Keyword(s):

Diffusion Equation ◽

Numerical Algorithm ◽

Dimensional Space ◽

Three Dimensional ◽

Advection Diffusion Equation ◽

Advection Diffusion ◽

Three Dimensional Space

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A numerical approximation method for solving a three-dimensional space Galilei invariant fractional advection-diffusion equation

Journal of Applied Mathematics and Computing ◽

10.1007/s12190-008-0168-7 ◽

2008 ◽

Vol 30 (1-2) ◽

pp. 219-236 ◽

Author(s):

Chang-Ming Chen ◽

F. Liu

Keyword(s):

Diffusion Equation ◽

Approximation Method ◽

Numerical Approximation ◽

Dimensional Space ◽

Three Dimensional ◽

Advection Diffusion Equation ◽

Advection Diffusion ◽

Three Dimensional Space

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Analytical Solution for the Transient Two-Dimensional Advection-Diffusion Equation Considering Nonlocal Closure of the Turbulent Diffusion

Proceedings of the International Symposium on Turbulence, Heat and Mass Transfer ◽

10.1615/ichmt.2006.turbulheatmasstransf.1530 ◽

2006 ◽

Author(s):

Davidson M. Moreira ◽

Marco Tulio de Vilhena ◽

D. Buske ◽

Tiziano Tirabassi

Keyword(s):

Analytical Solution ◽

Diffusion Equation ◽

Turbulent Diffusion ◽

Two Dimensional ◽

Advection Diffusion Equation ◽

Advection Diffusion

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Quantum algorithm for the advection–diffusion equation simulated with the lattice Boltzmann method

Quantum Information Processing ◽

10.1007/s11128-021-02996-3 ◽

2021 ◽

Vol 20 (2) ◽

Author(s):

Ljubomir Budinski

Keyword(s):

Diffusion Equation ◽

Lattice Boltzmann Method ◽

Lattice Boltzmann ◽

Quantum Algorithm ◽

Advection Diffusion Equation ◽

Advection Diffusion ◽

Boltzmann Method

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A meshless technique based on the moving least squares shape functions for nonlinear fractal-fractional advection-diffusion equation

Engineering Analysis with Boundary Elements ◽

10.1016/j.enganabound.2021.03.003 ◽

2021 ◽

Vol 127 ◽

pp. 8-17

Author(s):

M. Hosseininia ◽

M.H. Heydari ◽

F.M. Maalek Ghaini ◽

Z. Avazzadeh

Keyword(s):

Diffusion Equation ◽

Least Squares ◽

Moving Least Squares ◽

Shape Functions ◽

Advection Diffusion Equation ◽

Advection Diffusion

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A novel finite volume method for the Riesz space distributed-order advection–diffusion equation

Applied Mathematical Modelling ◽

10.1016/j.apm.2017.01.065 ◽

2017 ◽

Vol 46 ◽

pp. 536-553 ◽

Author(s):

J. Li ◽

F. Liu ◽

L. Feng ◽

I. Turner

Keyword(s):

Diffusion Equation ◽

Finite Volume Method ◽

Finite Volume ◽

Riesz Space ◽

Advection Diffusion Equation ◽

Advection Diffusion ◽

Volume Method ◽

Distributed Order

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Numerical Solutions of Advection-Diffusion Equation under Local Ill-Posed Conditions.

TRANSACTIONS OF THE JAPAN SOCIETY OF MECHANICAL ENGINEERS Series B ◽

10.1299/kikaib.60.2397 ◽

1994 ◽

Vol 60 (575) ◽

pp. 2397-2403

Author(s):

Yukihisa Yabushita ◽

Ryoichi Takahashi

Keyword(s):

Diffusion Equation ◽

Numerical Solutions ◽

Advection Diffusion Equation ◽

Advection Diffusion ◽

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Single collocation point methods for the advection–diffusion equation

Advances in Water Resources ◽

10.1016/j.advwatres.2004.02.003 ◽

2004 ◽

Vol 27 (4) ◽

pp. 311-322 ◽

Author(s):

I. Herrera ◽

M. Dı́az-Viera ◽

R. Yates

Keyword(s):

Diffusion Equation ◽

Collocation Point ◽

Advection Diffusion Equation ◽

Advection Diffusion

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A Petrov–Galerkin finite element method for the fractional advection–diffusion equation

Computer Methods in Applied Mechanics and Engineering ◽

10.1016/j.cma.2016.06.013 ◽

2016 ◽

Vol 309 ◽

pp. 388-410 ◽

Author(s):

Yanping Lian ◽

Yuping Ying ◽

Shaoqiang Tang ◽

Stephen Lin ◽

Gregory J. Wagner ◽

...

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Diffusion Equation ◽

Galerkin Finite Element Method ◽

Galerkin Finite Element ◽

Advection Diffusion Equation ◽

Advection Diffusion ◽

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