Finite Difference Method for Time-Space Fractional Advection–Diffusion Equations with Riesz Derivative

Sadia Arshad; Dumitru Baleanu; Jianfei Huang; Maysaa Al Qurashi; Yifa Tang; Yue Zhao

doi:10.3390/e20050321

Finite Difference Method for Time-Space Fractional Advection–Diffusion Equations with Riesz Derivative

Entropy ◽

10.3390/e20050321 ◽

2018 ◽

Vol 20 (5) ◽

pp. 321 ◽

Cited By ~ 13

Author(s):

Sadia Arshad ◽

Dumitru Baleanu ◽

Jianfei Huang ◽

Maysaa Al Qurashi ◽

Yifa Tang ◽

...

Keyword(s):

Finite Difference ◽

Finite Difference Method ◽

Difference Method ◽

Diffusion Equations ◽

Riesz Derivative ◽

Advection Diffusion ◽

Time Space

Download Full-text

Finite difference method for time–space linear and nonlinear fractional diffusion equations

International Journal of Computer Mathematics ◽

10.1080/00207160.2017.1344231 ◽

2017 ◽

Vol 95 (1) ◽

pp. 202-217 ◽

Cited By ~ 5

Author(s):

Sadia Arshad ◽

Weiping Bu ◽

Jianfei Huang ◽

Yifa Tang ◽

Yue Zhao

Keyword(s):

Finite Difference ◽

Finite Difference Method ◽

Difference Method ◽

Fractional Diffusion ◽

Diffusion Equations ◽

Fractional Diffusion Equations ◽

Time Space ◽

Linear And Nonlinear

Download Full-text

Combination of finite difference method and meshless method based on radial basis functions to solve fractional stochastic advection–diffusion equations

Engineering With Computers ◽

10.1007/s00366-019-00789-y ◽

2019 ◽

Vol 36 (4) ◽

pp. 1673-1686 ◽

Cited By ~ 8

Author(s):

Farshid Mirzaee ◽

Nasrin Samadyar

Keyword(s):

Finite Difference ◽

Finite Difference Method ◽

Radial Basis Functions ◽

Difference Method ◽

Meshless Method ◽

Basis Functions ◽

Diffusion Equations ◽

Advection Diffusion ◽

Radial Basis

Download Full-text

A Fourth Order Finite Difference Method for Time-Space Fractional Diffusion Equations

East Asian Journal on Applied Mathematics ◽

10.4208/eajam.280218.210518 ◽

2018 ◽

Vol 8 (4) ◽

pp. 764-781

Author(s):

Sadia Arshad

Keyword(s):

Finite Difference ◽

Finite Difference Method ◽

Fourth Order ◽

Difference Method ◽

Fractional Diffusion ◽

Diffusion Equations ◽

Fractional Diffusion Equations ◽

Time Space

Download Full-text

Generalized finite difference method with irregular mesh for a class of three-dimensional variable-order time-fractional advection-diffusion equations

Engineering Analysis with Boundary Elements ◽

10.1016/j.enganabound.2021.08.009 ◽

2021 ◽

Vol 132 ◽

pp. 345-355

Author(s):

Zhaoyang Wang ◽

HongGuang Sun

Keyword(s):

Finite Difference ◽

Finite Difference Method ◽

Difference Method ◽

Three Dimensional ◽

Diffusion Equations ◽

Variable Order ◽

Advection Diffusion ◽

Irregular Mesh ◽

Dimensional Variable

Download Full-text

A fast characteristic finite difference method for fractional advection–diffusion equations

Advances in Water Resources ◽

10.1016/j.advwatres.2010.11.003 ◽

2011 ◽

Vol 34 (7) ◽

pp. 810-816 ◽

Cited By ~ 111

Author(s):

Kaixin Wang ◽

Hong Wang

Keyword(s):

Finite Difference ◽

Finite Difference Method ◽

Difference Method ◽

Diffusion Equations ◽

Advection Diffusion

Download Full-text

A finite difference method for a class of nonlinear fractional advection-diffusion equations

Partial Differential Equations in Applied Mathematics ◽

10.1016/j.padiff.2021.100090 ◽

2021 ◽

pp. 100090

Author(s):

Jocemar de Q. Chagas ◽

Giuliano G. La Guardia ◽

Ervin K. Lenzi

Keyword(s):

Finite Difference ◽

Finite Difference Method ◽

Difference Method ◽

Diffusion Equations ◽

Advection Diffusion

Download Full-text

A Finite Difference Method on Non-Uniform Meshes for Time-Fractional Advection–Diffusion Equations with a Source Term

Applied Sciences ◽

10.3390/app8060960 ◽

2018 ◽

Vol 8 (6) ◽

pp. 960 ◽

Cited By ~ 15

Author(s):

Riccardo Fazio ◽

Alessandra Jannelli ◽

Santa Agreste

Keyword(s):

Finite Difference ◽

Finite Difference Method ◽

Difference Method ◽

Source Term ◽

Diffusion Equations ◽

Advection Diffusion

Download Full-text

Efficient compact finite difference method for variable coefficient fractional sub-diffusion equations with nonhomogeneous Neumann boundary conditions in conservative form

Computational and Applied Mathematics ◽

10.1007/s40314-018-0690-7 ◽

2018 ◽

Vol 37 (5) ◽

pp. 6252-6269 ◽

Cited By ~ 3

Author(s):

Lei Ren ◽

Lei Liu

Keyword(s):

Finite Difference ◽

Finite Difference Method ◽

Boundary Conditions ◽

Difference Method ◽

Variable Coefficient ◽

Neumann Boundary ◽

Neumann Boundary Conditions ◽

Diffusion Equations ◽

Compact Finite Difference Method ◽

Conservative Form

Download Full-text

Comparison of Iterative Solutions of the Finite Difference Method with Measurements as Applied to Poisson's and the Diffusion Equations

IEEE Transactions on Power Apparatus and Systems ◽

10.1109/tpas.1981.316994 ◽

1981 ◽

Vol PAS-100 (8) ◽

pp. 3983-3992 ◽

Cited By ~ 12

Author(s):

E.F. Fuchs ◽

K. Senske

Keyword(s):

Finite Difference ◽

Finite Difference Method ◽

Difference Method ◽

Diffusion Equations ◽

Iterative Solutions ◽

The Finite Difference Method

Download Full-text

A High Order Finite Difference Method for Tempered Fractional Diffusion Equations with Applications to the CGMY Model

SIAM Journal on Scientific Computing ◽

10.1137/18m1172739 ◽

2018 ◽

Vol 40 (5) ◽

pp. A3322-A3343 ◽

Cited By ~ 3

Author(s):

Xu Guo ◽

Yutian Li ◽

Hong Wang

Keyword(s):

Finite Difference ◽

Finite Difference Method ◽

Difference Method ◽

Fractional Diffusion ◽

High Order ◽

Diffusion Equations ◽

Fractional Diffusion Equations ◽

High Order Finite Difference

Download Full-text