Accuracy of numerical methods for solving the advection–diffusion equation as applied to spore and insect dispersal

Ecological Modelling ◽

10.1016/s0304-3800(97)00222-6 ◽

1998 ◽

Vol 109 (1) ◽

pp. 1-24 ◽

Author(s):

Y. Yang ◽

L.T. Wilson ◽

M.E. Makela ◽

M.A. Marchetti

Keyword(s):

Numerical Methods ◽

Diffusion Equation ◽

Insect Dispersal ◽

Advection Diffusion Equation ◽

Advection Diffusion

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Comparative study of some numerical methods to solve a 3D advection-diffusion equation

10.1063/1.4992162 ◽

2017 ◽

Author(s):

A. R. Appadu ◽

J. K. Djoko ◽

H. H. Gidey

Keyword(s):

Numerical Methods ◽

Diffusion Equation ◽

Comparative Study ◽

Advection Diffusion Equation ◽

Advection Diffusion

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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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On stable and explicit numerical methods for the advection–diffusion equation

Mathematics and Computers in Simulation ◽

10.1016/j.matcom.2008.03.001 ◽

2008 ◽

Vol 79 (3) ◽

pp. 561-570 ◽

Author(s):

Marcin L. Witek ◽

Joao Teixeira ◽

Piotr J. Flatau

Keyword(s):

Numerical Methods ◽

Diffusion Equation ◽

Advection Diffusion Equation ◽

Advection Diffusion

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Numerical Methods for the Variable-Order Fractional Advection-Diffusion Equation with a Nonlinear Source Term

SIAM Journal on Numerical Analysis ◽

10.1137/080730597 ◽

2009 ◽

Vol 47 (3) ◽

pp. 1760-1781 ◽

Author(s):

P. Zhuang ◽

F. Liu ◽

V. Anh ◽

I. Turner

Keyword(s):

Numerical Methods ◽

Diffusion Equation ◽

Source Term ◽

Variable Order ◽

Nonlinear Source ◽

Advection Diffusion Equation ◽

Advection Diffusion

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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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