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Quasi-Toeplitz Trigonometric Transform Splitting Methods for Spatial Fractional Diffusion Equations
Journal of Scientific Computing
◽
10.1007/s10915-021-01610-z
◽
2021
◽
Vol 89
(1)
◽
Author(s):
Xin-Hui Shao
◽
Yu-Han Li
◽
Hai-Long Shen
Keyword(s):
Fractional Diffusion
◽
Splitting Methods
◽
Diffusion Equations
◽
Fractional Diffusion Equations
◽
Trigonometric Transform
Download Full-text
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References
A generalization of trigonometric transform splitting methods for spatial fractional diffusion equations
Computers & Mathematics with Applications
◽
10.1016/j.camwa.2019.10.003
◽
2020
◽
Vol 79
(6)
◽
pp. 1845-1856
Author(s):
Xin-Hui Shao
◽
Zhen-Duo Zhang
◽
Hai-Long Shen
Keyword(s):
Fractional Diffusion
◽
Splitting Methods
◽
Diffusion Equations
◽
Fractional Diffusion Equations
◽
Trigonometric Transform
Download Full-text
Spectral direction splitting methods for two-dimensional space fractional diffusion equations
Journal of Computational Physics
◽
10.1016/j.jcp.2015.07.011
◽
2015
◽
Vol 299
◽
pp. 196-214
◽
Cited By ~ 19
Author(s):
Fangying Song
◽
Chuanju Xu
Keyword(s):
Dimensional Space
◽
Fractional Diffusion
◽
Splitting Methods
◽
Diffusion Equations
◽
Two Dimensional
◽
Fractional Diffusion Equations
◽
Direction Splitting
Download Full-text
A Crank-Nicolson ADI quadratic spline collocation method for two-dimensional Riemann-Liouville space-fractional diffusion equations
Applied Numerical Mathematics
◽
10.1016/j.apnum.2020.10.015
◽
2021
◽
Vol 160
◽
pp. 331-348
Author(s):
Jun Liu
◽
Chen Zhu
◽
Yanping Chen
◽
Hongfei Fu
Keyword(s):
Collocation Method
◽
Fractional Diffusion
◽
Diffusion Equations
◽
Two Dimensional
◽
Spline Collocation
◽
Quadratic Spline
◽
Spline Collocation Method
◽
Fractional Diffusion Equations
◽
Liouville Space
◽
Quadratic Spline Collocation
Download Full-text
An implicit difference scheme for time-fractional diffusion equations with a time-invariant type variable order
Applied Mathematics Letters
◽
10.1016/j.aml.2021.107270
◽
2021
◽
pp. 107270
Author(s):
Xian-Ming Gu
◽
Hai-Wei Sun
◽
Yong-Liang Zhao
◽
Xiangcheng Zheng
Keyword(s):
Difference Scheme
◽
Fractional Diffusion
◽
Diffusion Equations
◽
Variable Order
◽
Implicit Difference Scheme
◽
Fractional Diffusion Equations
◽
Type Variable
◽
Time Invariant
Download Full-text
An efficient multigrid solver for two-dimensional spatial fractional diffusion equations with variable coefficients
Applied Mathematics and Computation
◽
10.1016/j.amc.2021.126091
◽
2021
◽
Vol 402
◽
pp. 126091
Author(s):
Kejia Pan
◽
Hai-Wei Sun
◽
Yuan Xu
◽
Yufeng Xu
Keyword(s):
Fractional Diffusion
◽
Variable Coefficients
◽
Diffusion Equations
◽
Two Dimensional
◽
Multigrid Solver
◽
Fractional Diffusion Equations
Download Full-text
Circulant-based approximate inverse preconditioners for a class of fractional diffusion equations
Computers & Mathematics with Applications
◽
10.1016/j.camwa.2021.01.007
◽
2021
◽
Vol 85
◽
pp. 18-29
Author(s):
Hong-Kui Pang
◽
Hai-Hua Qin
◽
Hai-Wei Sun
◽
Ting-Ting Ma
Keyword(s):
Fractional Diffusion
◽
Diffusion Equations
◽
Approximate Inverse
◽
Fractional Diffusion Equations
Download Full-text
Fast algorithms for high-dimensional variable-order space-time fractional diffusion equations
Computational and Applied Mathematics
◽
10.1007/s40314-021-01496-5
◽
2021
◽
Vol 40
(4)
◽
Author(s):
Lei Zhang
◽
Guo-Feng Zhang
Keyword(s):
Fast Algorithms
◽
Fractional Diffusion
◽
Space Time
◽
Diffusion Equations
◽
High Dimensional
◽
Variable Order
◽
Fractional Diffusion Equations
◽
Dimensional Variable
Download Full-text
A scalable framework for solving fractional diffusion equations
Proceedings of the 34th ACM International Conference on Supercomputing
◽
10.1145/3392717.3392769
◽
2020
◽
Author(s):
Max Carlson
◽
Robert M. Kirby
◽
Hari Sundar
Keyword(s):
Fractional Diffusion
◽
Diffusion Equations
◽
Fractional Diffusion Equations
Download Full-text
Finite difference schemes for the two-dimensional multi-term time-fractional diffusion equations with variable coefficients
Computational and Applied Mathematics
◽
10.1007/s40314-021-01551-1
◽
2021
◽
Vol 40
(5)
◽
Author(s):
Mingrong Cui
Keyword(s):
Finite Difference
◽
Fractional Diffusion
◽
Variable Coefficients
◽
Difference Schemes
◽
Diffusion Equations
◽
Finite Difference Schemes
◽
Two Dimensional
◽
Fractional Diffusion Equations
Download Full-text
A fractional Tikhonov regularization method for an inverse backward and source problems in the time-space fractional diffusion equations
Chaos Solitons & Fractals
◽
10.1016/j.chaos.2021.111127
◽
2021
◽
Vol 150
◽
pp. 111127
Author(s):
Smina Djennadi
◽
Nabil Shawagfeh
◽
Omar Abu Arqub
Keyword(s):
Tikhonov Regularization
◽
Regularization Method
◽
Fractional Diffusion
◽
Diffusion Equations
◽
Tikhonov Regularization Method
◽
Fractional Diffusion Equations
◽
Time Space
Download Full-text
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