Quasi-Toeplitz splitting iteration methods for unsteady space-fractional diffusion equations

Ping-Fei Dai; Qing-Biao Wu; Sheng-Feng Zhu

doi:10.1002/num.22320

Quasi-Toeplitz splitting iteration methods for unsteady space-fractional diffusion equations

Numerical Methods for Partial Differential Equations ◽

10.1002/num.22320 ◽

2018 ◽

Vol 35 (2) ◽

pp. 699-715 ◽

Cited By ~ 2

Author(s):

Ping-Fei Dai ◽

Qing-Biao Wu ◽

Sheng-Feng Zhu

Keyword(s):

Fractional Diffusion ◽

Diffusion Equations ◽

Fractional Diffusion Equations ◽

Iteration Methods

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On banded M-splitting iteration methods for solving discretized spatial fractional diffusion equations

BIT Numerical Mathematics ◽

10.1007/s10543-018-0727-8 ◽

2018 ◽

Vol 59 (1) ◽

pp. 1-33 ◽

Cited By ~ 5

Author(s):

Zhong-Zhi Bai ◽

Kang-Ya Lu

Keyword(s):

Fractional Diffusion ◽

Diffusion Equations ◽

Fractional Diffusion Equations ◽

Iteration Methods

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Diagonal and Toeplitz splitting iteration methods for diagonal-plus-Toeplitz linear systems from spatial fractional diffusion equations

Numerical Linear Algebra with Applications ◽

10.1002/nla.2093 ◽

2017 ◽

Vol 24 (4) ◽

pp. e2093 ◽

Cited By ~ 21

Author(s):

Zhong-Zhi Bai ◽

Kang-Ya Lu ◽

Jian-Yu Pan

Keyword(s):

Linear Systems ◽

Fractional Diffusion ◽

Diffusion Equations ◽

Fractional Diffusion Equations ◽

Iteration Methods

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Scaled diagonal‐times‐Toeplitz splitting iteration methods for solving discretized spatial fractional diffusion equations

Mathematical Methods in the Applied Sciences ◽

10.1002/mma.7101 ◽

2020 ◽

Author(s):

Min‐Li Zeng ◽

Guo‐Feng Zhang

Keyword(s):

Fractional Diffusion ◽

Diffusion Equations ◽

Fractional Diffusion Equations ◽

Iteration Methods

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Respectively scaled HSS iteration methods for solving discretized spatial fractional diffusion equations

Numerical Linear Algebra with Applications ◽

10.1002/nla.2157 ◽

2018 ◽

Vol 25 (5) ◽

pp. e2157 ◽

Cited By ~ 4

Author(s):

Zhong-Zhi Bai

Keyword(s):

Fractional Diffusion ◽

Diffusion Equations ◽

Fractional Diffusion Equations ◽

Iteration Methods ◽

Hss Iteration

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On regularized Hermitian splitting iteration methods for solving discretized almost‐isotropic spatial fractional diffusion equations

Numerical Linear Algebra with Applications ◽

10.1002/nla.2274 ◽

2019 ◽

Vol 27 (1) ◽

Cited By ~ 1

Author(s):

Zhong‐Zhi Bai ◽

Kang‐Ya Lu

Keyword(s):

Fractional Diffusion ◽

Diffusion Equations ◽

Fractional Diffusion Equations ◽

Iteration Methods

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A Class of Preconditioners Based on Positive-Definite Operator Splitting Iteration Methods for Variable-Coefficient Space-Fractional Diffusion Equations

Communications on Applied Mathematics and Computation ◽

10.1007/s42967-020-00069-3 ◽

2020 ◽

Author(s):

Jun-Feng Yin ◽

Yi-Shu Du

Keyword(s):

Variable Coefficient ◽

Operator Splitting ◽

Fractional Diffusion ◽

Positive Definite ◽

Diffusion Equations ◽

Fractional Diffusion Equations ◽

Definite Operator ◽

Coefficient Space ◽

Iteration Methods ◽

Positive Definite Operator

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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

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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

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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

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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

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