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A fast high order method for time fractional diffusion equation with non-smooth data
Discrete & Continuous Dynamical Systems - B
◽
10.3934/dcdsb.2021073
◽
2021
◽
Vol 0
(0)
◽
pp. 0
Author(s):
Haili Qiao
◽
Aijie Cheng
Keyword(s):
Diffusion Equation
◽
Fractional Diffusion
◽
High Order
◽
Fractional Diffusion Equation
◽
Order Method
◽
High Order Method
◽
Time Fractional Diffusion Equation
◽
Smooth Data
Download Full-text
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References
A Fast High Order Method for the Time-Fractional Diffusion Equation
SIAM Journal on Numerical Analysis
◽
10.1137/18m1231225
◽
2019
◽
Vol 57
(6)
◽
pp. 2829-2849
◽
Cited By ~ 1
Author(s):
Hongyi Zhu
◽
Chuanju Xu
Keyword(s):
Diffusion Equation
◽
Fractional Diffusion
◽
High Order
◽
Fractional Diffusion Equation
◽
Order Method
◽
High Order Method
◽
Time Fractional Diffusion Equation
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Compact high-order implicit iterative scheme for the two-dimensional time-fractional diffusion equation
10.1063/5.0075743
◽
2021
◽
Author(s):
Muhammad Asim Khan
◽
Norhashidah Hj. Mohd Ali
◽
Nur Nadiah Abd Hamid
Keyword(s):
Diffusion Equation
◽
Iterative Scheme
◽
Fractional Diffusion
◽
High Order
◽
Fractional Diffusion Equation
◽
Two Dimensional
◽
Time Fractional Diffusion Equation
◽
Implicit Iterative Scheme
Download Full-text
A high-order L2 type difference scheme for the time-fractional diffusion equation
Applied Mathematics and Computation
◽
10.1016/j.amc.2021.126545
◽
2021
◽
Vol 411
◽
pp. 126545
Author(s):
Anatoly A. Alikhanov
◽
Chengming Huang
Keyword(s):
Diffusion Equation
◽
Difference Scheme
◽
Fractional Diffusion
◽
High Order
◽
Fractional Diffusion Equation
◽
Time Fractional Diffusion Equation
Download Full-text
A high-order compact alternating direction implicit method for solving the 3D time-fractional diffusion equation with the Caputo–Fabrizio operator
Mathematical Sciences
◽
10.1007/s40096-020-00346-5
◽
2020
◽
Vol 14
(4)
◽
pp. 359-373
Author(s):
Narjes Abdi
◽
Hossein Aminikhah
◽
Amir Hossein Refahi Sheikhani
◽
Javad Alavi
Keyword(s):
Diffusion Equation
◽
Fractional Diffusion
◽
High Order
◽
Fractional Diffusion Equation
◽
Implicit Method
◽
Alternating Direction Implicit Method
◽
Alternating Direction Implicit
◽
Alternating Direction
◽
Time Fractional Diffusion Equation
Download Full-text
High-Order Numerical Method for Solving a Space Distributed-Order Time-Fractional Diffusion Equation
Acta Mathematica Scientia
◽
10.1007/s10473-021-0311-1
◽
2021
◽
Vol 41
(3)
◽
pp. 801-826
Author(s):
Jing Li
◽
Yingying Yang
◽
Yingjun Jiang
◽
Libo Feng
◽
Boling Guo
Keyword(s):
Diffusion Equation
◽
Numerical Method
◽
Fractional Diffusion
◽
High Order
◽
Fractional Diffusion Equation
◽
Time Fractional Diffusion Equation
◽
Distributed Order
Download Full-text
A high‐order B‐spline collocation scheme for solving a nonhomogeneous time‐fractional diffusion equation
Mathematical Methods in the Applied Sciences
◽
10.1002/mma.6760
◽
2020
◽
Vol 44
(1)
◽
pp. 546-567
Author(s):
Pradip Roul
◽
VMK Prasad Goura
Keyword(s):
Diffusion Equation
◽
Fractional Diffusion
◽
High Order
◽
Fractional Diffusion Equation
◽
Spline Collocation
◽
B Spline
◽
Collocation Scheme
◽
Time Fractional Diffusion Equation
Download Full-text
Convergence analysis of high-order compact alternating direction implicit schemes for the two-dimensional time fractional diffusion equation
Numerical Algorithms
◽
10.1007/s11075-012-9589-3
◽
2012
◽
Vol 62
(3)
◽
pp. 383-409
◽
Cited By ~ 54
Author(s):
Mingrong Cui
Keyword(s):
Diffusion Equation
◽
Convergence Analysis
◽
Fractional Diffusion
◽
High Order
◽
Fractional Diffusion Equation
◽
Two Dimensional
◽
Alternating Direction Implicit
◽
Implicit Schemes
◽
Alternating Direction
◽
Time Fractional Diffusion Equation
Download Full-text
Blow-up solutions of a time-fractional diffusion equation with variable exponents
Tbilisi Mathematical Journal
◽
10.32513/tbilisi/1578020574
◽
2019
◽
Vol 12
(4)
◽
pp. 149-157
Author(s):
J. Manimaran
◽
L. Shangerganesh
Keyword(s):
Diffusion Equation
◽
Blow Up
◽
Fractional Diffusion
◽
Fractional Diffusion Equation
◽
Variable Exponents
◽
Time Fractional Diffusion Equation
Download Full-text
On inverse source problem for time fractional diffusion equation on simple metric graph
Uzbek Mathematical Journal
◽
10.29229/uzmj.2020-2-10
◽
2020
◽
Vol 2020
(2)
◽
pp. 99-108
Author(s):
J.R. Khujakulov
Keyword(s):
Diffusion Equation
◽
Fractional Diffusion
◽
Fractional Diffusion Equation
◽
Inverse Source Problem
◽
Metric Graph
◽
Time Fractional Diffusion Equation
Download Full-text
An Error Estimate of a Numerical Approximation to a Hidden-Memory Variable-Order Space-Time Fractional Diffusion Equation
SIAM Journal on Numerical Analysis
◽
10.1137/20m132420x
◽
2020
◽
Vol 58
(5)
◽
pp. 2492-2514
Author(s):
Xiangcheng Zheng
◽
Hong Wang
Keyword(s):
Diffusion Equation
◽
Error Estimate
◽
Numerical Approximation
◽
Fractional Diffusion
◽
Space Time
◽
Fractional Diffusion Equation
◽
Variable Order
◽
Time Fractional Diffusion Equation
Download Full-text
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