An RBF based meshless method for the distributed order time fractional advection–diffusion equation

Engineering Analysis with Boundary Elements ◽

10.1016/j.enganabound.2018.08.007 ◽

2018 ◽

Vol 96 ◽

pp. 55-63 ◽

Author(s):

Quanzhen Liu ◽

Shanjun Mu ◽

Qingxia Liu ◽

Baoquan Liu ◽

Xiaolei Bi ◽

...

Keyword(s):

Diffusion Equation ◽

Meshless Method ◽

Advection Diffusion Equation ◽

Advection Diffusion ◽

Distributed Order

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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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Meshless upwind local radial basis function-finite difference technique to simulate the time- fractional distributed-order advection–diffusion equation

Engineering With Computers ◽

10.1007/s00366-019-00861-7 ◽

2019 ◽

Author(s):

Mostafa Abbaszadeh ◽

Mehdi Dehghan

Keyword(s):

Finite Difference ◽

Diffusion Equation ◽

Radial Basis Function ◽

Basis Function ◽

Finite Difference Technique ◽

Advection Diffusion Equation ◽

Advection Diffusion ◽

Radial Basis ◽

Distributed Order

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Analysis and numerical methods for the Riesz space distributed-order advection-diffusion equation with time delay

SeMA Journal ◽

10.1007/s40324-019-00192-z ◽

2019 ◽

Vol 76 (4) ◽

pp. 533-551 ◽

Author(s):

Mohammad Javidi ◽

Mahdi Saedshoar Heris

Keyword(s):

Numerical Methods ◽

Diffusion Equation ◽

Riesz Space ◽

Advection Diffusion Equation ◽

Advection Diffusion ◽

Distributed Order

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Modelling of the advection–diffusion equation with a meshless method without numerical diffusion

International Journal of Computer Mathematics ◽

10.1080/00207160.2011.587872 ◽

2012 ◽

Vol 89 (3) ◽

pp. 377-389 ◽

Author(s):

Luis Gavete ◽

Francisco Ureña ◽

Juan José Benito ◽

María Lucía Gavete

Keyword(s):

Diffusion Equation ◽

Meshless Method ◽

Numerical Diffusion ◽

Advection Diffusion Equation ◽

Advection Diffusion

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A meshless method for solving two-dimensional variable-order time fractional advection–diffusion equation

Journal of Computational Physics ◽

10.1016/j.jcp.2017.03.061 ◽

2017 ◽

Vol 340 ◽

pp. 655-669 ◽

Author(s):

A. Tayebi ◽

Y. Shekari ◽

M.H. Heydari

Keyword(s):

Diffusion Equation ◽

Meshless Method ◽

Variable Order ◽

Two Dimensional ◽

Advection Diffusion Equation ◽

Advection Diffusion ◽

Dimensional Variable

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Numerical Solution of Advection–Diffusion Equation Using Meshless Method of Lines

Iranian Journal of Science and Technology Transactions A Science ◽

10.1007/s40995-017-0251-8 ◽

2017 ◽

Vol 41 (2) ◽

pp. 457-464 ◽

Author(s):

Maysam Askari ◽

Hojatollah Adibi

Keyword(s):

Diffusion Equation ◽

Numerical Solution ◽

Meshless Method ◽

Method Of Lines ◽

Advection Diffusion Equation ◽

Advection Diffusion ◽

Meshless Method Of Lines

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A meshless method for solving the time fractional advection–diffusion equation with variable coefficients

Computers & Mathematics with Applications ◽

10.1016/j.camwa.2017.08.038 ◽

2018 ◽

Vol 75 (1) ◽

pp. 122-133 ◽

Author(s):

A. Mardani ◽

M.R. Hooshmandasl ◽

M.H. Heydari ◽

C. Cattani

Keyword(s):

Diffusion Equation ◽

Meshless Method ◽

Variable Coefficients ◽

Advection Diffusion Equation ◽

Advection Diffusion

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A Crank–Nicolson ADI Galerkin–Legendre spectral method for the two-dimensional Riesz space distributed-order advection–diffusion equation

Computers & Mathematics with Applications ◽

10.1016/j.camwa.2018.08.042 ◽

2018 ◽

Vol 76 (10) ◽

pp. 2460-2476 ◽

Author(s):

Hui Zhang ◽

Fawang Liu ◽

Xiaoyun Jiang ◽

Fanhai Zeng ◽

Ian Turner

Keyword(s):

Diffusion Equation ◽

Spectral Method ◽

Riesz Space ◽

Two Dimensional ◽

Advection Diffusion Equation ◽

Advection Diffusion ◽

Legendre Spectral Method ◽

Distributed Order ◽

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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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