Spurious solutions for the advection-diffusion equation using wide stencils for approximating the second derivative

Hannes Frenander; Jan Nordström

doi:10.1002/num.22210

Spurious solutions for the advection-diffusion equation using wide stencils for approximating the second derivative

Numerical Methods for Partial Differential Equations ◽

10.1002/num.22210 ◽

2017 ◽

Vol 34 (2) ◽

pp. 501-517 ◽

Cited By ~ 2

Author(s):

Hannes Frenander ◽

Jan Nordström

Keyword(s):

Diffusion Equation ◽

Second Derivative ◽

Advection Diffusion Equation ◽

Advection Diffusion ◽

Spurious Solutions

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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 ◽

Cited By ~ 47

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 ◽

Ill Posed

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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 ◽

Cited By ~ 11

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 ◽

Cited By ~ 23

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 ◽

Element Method

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Computational solutions of three-dimensional advection-diffusion equation using fourth order time efficient alternating direction implicit scheme

AIP Advances ◽

10.1063/1.4996341 ◽

2017 ◽

Vol 7 (8) ◽

pp. 085306 ◽

Cited By ~ 1

Author(s):

Muhammad Saqib ◽

Shahid Hasnain ◽

Daoud Suleiman Mashat

Keyword(s):

Diffusion Equation ◽

Fourth Order ◽

Three Dimensional ◽

Implicit Scheme ◽

Alternating Direction Implicit ◽

Advection Diffusion Equation ◽

Advection Diffusion ◽

Alternating Direction ◽

Alternating Direction Implicit Scheme

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A fully implicit finite difference scheme based on extended cubic B-splines for time fractional advection–diffusion equation

Advances in Difference Equations ◽

10.1186/s13662-018-1537-7 ◽

2018 ◽

Vol 2018 (1) ◽

Cited By ~ 12

Author(s):

Syed Tauseef Mohyud-Din ◽

Tayyaba Akram ◽

Muhammad Abbas ◽

Ahmad Izani Ismail ◽

Norhashidah H. M. Ali

Keyword(s):

Finite Difference ◽

Diffusion Equation ◽

Difference Scheme ◽

Finite Difference Scheme ◽

B Splines ◽

Fully Implicit ◽

Advection Diffusion Equation ◽

Advection Diffusion ◽

Implicit Finite Difference Scheme ◽

Implicit Finite Difference

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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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