A Fast High Order Method for the Time-Fractional Diffusion Equation

Hongyi Zhu; Chuanju Xu

doi:10.1137/18m1231225

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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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

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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

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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

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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

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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

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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

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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

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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

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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

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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

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