On a backward problem for inhomogeneous time-fractional diffusion equations

Computers & Mathematics with Applications ◽

10.1016/j.camwa.2019.02.014 ◽

2019 ◽

Vol 78 (5) ◽

pp. 1317-1333 ◽

Author(s):

Nguyen Hoang Luc ◽

Le Nhat Huynh ◽

Nguyen Huy Tuan ◽

Le Dinh Long

Keyword(s):

Fractional Diffusion ◽

Diffusion Equations ◽

Fractional Diffusion Equations ◽

Backward Problem

Download Full-text

Backward problem for time-space fractional diffusion equations in Hilbert scales

Computers & Mathematics with Applications ◽

10.1016/j.camwa.2021.04.018 ◽

2021 ◽

Vol 93 ◽

pp. 253-264

Author(s):

Dang Duc Trong ◽

Dinh Nguyen Duy Hai

Keyword(s):

Fractional Diffusion ◽

Diffusion Equations ◽

Fractional Diffusion Equations ◽

Backward Problem ◽

Download Full-text

Existence and regularity results of a backward problem for fractional diffusion equations

Mathematical Methods in the Applied Sciences ◽

10.1002/mma.5781 ◽

2019 ◽

Vol 42 (18) ◽

pp. 6775-6790 ◽

Author(s):

Yong Zhou ◽

Jia Wei He ◽

Bashir Ahmad ◽

Nguyen Huy Tuan

Keyword(s):

Fractional Diffusion ◽

Diffusion Equations ◽

Fractional Diffusion Equations ◽

Backward Problem ◽

Existence And Regularity Results ◽

Regularity Results

Download Full-text

Regularization of a backward problem for 2-D time-fractional diffusion equations with discrete random noise

Applicable Analysis ◽

10.1080/00036811.2019.1603369 ◽

2019 ◽

pp. 1-26 ◽

Author(s):

Nguyen Huy Tuan ◽

Le Nhat Huynh ◽

Yong Zhou

Keyword(s):

Random Noise ◽

Fractional Diffusion ◽

Diffusion Equations ◽

Fractional Diffusion Equations ◽

Backward Problem

Download Full-text

On a backward problem for nonlinear fractional diffusion equations

Applied Mathematics Letters ◽

10.1016/j.aml.2018.11.015 ◽

2019 ◽

Vol 92 ◽

pp. 76-84 ◽

Author(s):

Nguyen Huy Tuan ◽

Le Nhat Huynh ◽

Tran Bao Ngoc ◽

Yong Zhou

Keyword(s):

Fractional Diffusion ◽

Diffusion Equations ◽

Fractional Diffusion Equations ◽

Backward Problem

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 ◽

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 ◽

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