Finite difference approximations for the fractional advection–diffusion equation

Lijuan Su; Wenqia Wang; Zhaoxia Yang

doi:10.1016/j.physleta.2009.10.004

Finite difference approximations for the fractional advection–diffusion equation

Physics Letters A ◽

10.1016/j.physleta.2009.10.004 ◽

2009 ◽

Vol 373 (48) ◽

pp. 4405-4408 ◽

Cited By ~ 40

Author(s):

Lijuan Su ◽

Wenqia Wang ◽

Zhaoxia Yang

Keyword(s):

Finite Difference ◽

Diffusion Equation ◽

Finite Difference Approximations ◽

Advection Diffusion Equation ◽

Advection Diffusion ◽

Difference Approximations

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Interface procedures for finite difference approximations of the advection–diffusion equation

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2011.08.009 ◽

2011 ◽

Vol 236 (5) ◽

pp. 602-620 ◽

Cited By ~ 20

Author(s):

Jing Gong ◽

Jan Nordström

Keyword(s):

Finite Difference ◽

Diffusion Equation ◽

Finite Difference Approximations ◽

Advection Diffusion Equation ◽

Advection Diffusion ◽

Difference Approximations

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The stability of explicit Euler time-integration for certain finite difference approximations of the multi-dimensional advection-diffusion equation

International Journal for Numerical Methods in Fluids ◽

10.1002/fld.1650040905 ◽

1984 ◽

Vol 4 (9) ◽

pp. 853-897 ◽

Cited By ~ 117

Author(s):

A. C. Hindmarsh ◽

P. M. Gresho ◽

D. F. Griffiths

Keyword(s):

Finite Difference ◽

Diffusion Equation ◽

Time Integration ◽

Finite Difference Approximations ◽

Advection Diffusion Equation ◽

Advection Diffusion ◽

Difference Approximations ◽

The Stability

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Special Meshes for Finite Difference Approximations to an Advection-Diffusion Equation with Parabolic Layers

Journal of Computational Physics ◽

10.1006/jcph.1995.1043 ◽

1995 ◽

Vol 117 (1) ◽

pp. 47-54 ◽

Cited By ~ 28

Author(s):

Alan F. Hegarty ◽

John J.H. Miller ◽

Eugene O'Riordan ◽

G.I. Shishkin

Keyword(s):

Finite Difference ◽

Diffusion Equation ◽

Finite Difference Approximations ◽

Advection Diffusion Equation ◽

Advection Diffusion ◽

Difference Approximations

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Finite difference approximations to the advection-diffusion equation

Tellus A Dynamic Meteorology and Oceanography ◽

10.3402/tellusa.v44i3.14958 ◽

1992 ◽

Vol 44 (3) ◽

pp. 261-269 ◽

Cited By ~ 1

Author(s):

Daniel G. Wright

Keyword(s):

Finite Difference ◽

Diffusion Equation ◽

Finite Difference Approximations ◽

Advection Diffusion Equation ◽

Advection Diffusion ◽

Difference Approximations

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Finite difference approximations to the advection-diffusion equation

Tellus A Dynamic Meteorology and Oceanography ◽

10.1034/j.1600-0870.1992.t01-2-00005.x ◽

1992 ◽

Vol 44 (3) ◽

pp. 261-269 ◽

Cited By ~ 1

Author(s):

DANIEL G. WRIGHT

Keyword(s):

Finite Difference ◽

Diffusion Equation ◽

Finite Difference Approximations ◽

Advection Diffusion Equation ◽

Advection Diffusion ◽

Difference Approximations

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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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Analysis of high order finite difference approximations to the 3-D neutron diffusion equation

Annals of Nuclear Energy ◽

10.1016/0306-4549(87)90044-2 ◽

1987 ◽

Vol 14 (5) ◽

pp. 235-239 ◽

Cited By ~ 1

Author(s):

M. Benghanem ◽

A.F. Rohach

Keyword(s):

Finite Difference ◽

Diffusion Equation ◽

High Order ◽

Neutron Diffusion ◽

Finite Difference Approximations ◽

Difference Approximations ◽

High Order Finite Difference ◽

Neutron Diffusion Equation

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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 ◽

Cited By ~ 10

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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Erratum To: "High-Order Finite Difference Schemes for Solving the Advection-Diffusion Equation, Mathematical and Computational Applications, Vol. 15, No. 3, 449-460, 2010."

Mathematical and Computational Applications ◽

10.3390/mca16040979 ◽

2011 ◽

Vol 16 (4) ◽

pp. 979-979

Author(s):

Murat Sari ◽

Gürhan Gürarslan ◽

Asuman Zeytinoğlu

Keyword(s):

Finite Difference ◽

Diffusion Equation ◽

High Order ◽

Difference Schemes ◽

Finite Difference Schemes ◽

Advection Diffusion Equation ◽

Advection Diffusion ◽

High Order Finite Difference

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Multi-dimensional asymptotically stable finite difference schemes for the advection–diffusion equation

Computers & Fluids ◽

10.1016/s0045-7930(98)00042-5 ◽

1999 ◽

Vol 28 (4-5) ◽

pp. 481-510 ◽

Cited By ~ 7

Author(s):

Saul Abarbanel ◽

Adi Ditkowski

Keyword(s):

Finite Difference ◽

Diffusion Equation ◽

Difference Schemes ◽

Finite Difference Schemes ◽

Asymptotically Stable ◽

Advection Diffusion Equation ◽

Advection Diffusion

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