Numerical framework for the Caputo time-fractional diffusion equation with fourth order derivative in space

Journal of Applied Mathematics and Computing ◽

10.1007/s12190-021-01635-5 ◽

2021 ◽

Author(s):

Sadia Arshad ◽

Mubashara Wali ◽

Jianfei Huang ◽

Sadia Khalid ◽

Nosheen Akbar

Keyword(s):

Diffusion Equation ◽

Fourth Order ◽

Fractional Diffusion ◽

Fractional Diffusion Equation ◽

Order Derivative ◽

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 ◽

Fractional Diffusion Equation ◽

Variable Order ◽

Time Fractional Diffusion Equation

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Numerical investigation of the two-dimensional space-time fractional diffusion equation in porous media

Mathematical Sciences ◽

10.1007/s40096-020-00364-3 ◽

2021 ◽

Author(s):

B. Farnam ◽

Y. Esmaeelzade Aghdam ◽

O. Nikan

Keyword(s):

Porous Media ◽

Diffusion Equation ◽

Numerical Investigation ◽

Dimensional Space ◽

Fractional Diffusion ◽

Fractional Diffusion Equation ◽

Two Dimensional ◽

Dimensional Space Time ◽

Time Fractional Diffusion Equation

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Homotopy perturbation method to time-fractional diffusion equation with a moving boundary condition

Applied Mathematics and Computation ◽

10.1016/j.amc.2008.12.023 ◽

2009 ◽

Vol 208 (2) ◽

pp. 434-439 ◽

Author(s):

Xicheng Li ◽

Mingyu Xu ◽

Xiaoyun Jiang

Keyword(s):

Boundary Condition ◽

Diffusion Equation ◽

Perturbation Method ◽

Homotopy Perturbation Method ◽

Moving Boundary ◽

Fractional Diffusion ◽

Fractional Diffusion Equation ◽

Homotopy Perturbation ◽

Moving Boundary Condition ◽

Time Fractional Diffusion Equation

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Reconstruction of the temporal component in the source term of a (time-fractional) diffusion equation

Journal of Physics A Mathematical and Theoretical ◽

10.1088/1751-8121/aa763a ◽

2017 ◽

Vol 50 (30) ◽

pp. 305203 ◽

Author(s):

Yikan Liu ◽

Zhidong Zhang

Keyword(s):

Diffusion Equation ◽

Source Term ◽

Fractional Diffusion ◽

Fractional Diffusion Equation ◽

Time Fractional Diffusion Equation

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Tikhonov regularization method for identifying the space-dependent source for time-fractional diffusion equation on a columnar symmetric domain

Advances in Difference Equations ◽

10.1186/s13662-020-2542-1 ◽

2020 ◽

Vol 2020 (1) ◽

Author(s):

Fan Yang ◽

Pan Zhang ◽

Xiao-Xiao Li ◽

Xin-Yi Ma

Keyword(s):

Diffusion Equation ◽

Tikhonov Regularization ◽

Regularization Method ◽

Symmetric Domain ◽

Fractional Diffusion ◽

Fractional Diffusion Equation ◽

Tikhonov Regularization Method ◽

Time Fractional Diffusion Equation

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A Numerical Method for Solving the Inverse Source Problem of the Space-Time Fractional Diffusion Equation

Advances in Applied Mathematics ◽

10.12677/aam.2021.104108 ◽

2021 ◽

Vol 10 (04) ◽

pp. 996-1002

Author(s):

柔姿段

Keyword(s):

Diffusion Equation ◽

Numerical Method ◽

Fractional Diffusion ◽

Fractional Diffusion Equation ◽

Inverse Source Problem ◽

Time Fractional Diffusion Equation

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A second-order scheme for a time-fractional diffusion equation

Applied Mathematics Letters ◽

10.1016/j.aml.2018.10.016 ◽

2019 ◽

Vol 90 ◽

pp. 79-85 ◽

Author(s):

Zhongdi Cen ◽

Jian Huang ◽

Anbo Le ◽

Aimin Xu

Keyword(s):

Diffusion Equation ◽

Fractional Diffusion ◽

Second Order ◽

Fractional Diffusion Equation ◽

Order Scheme ◽

Time Fractional Diffusion Equation

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Numerical Solution to the Space-Time Fractional Diffusion Equation and Inversion for the Space-Dependent Diffusion Coefficient

Journal of Computational and Theoretical Transport ◽

10.1080/23324309.2016.1263667 ◽

2016 ◽

Vol 46 (2) ◽

pp. 122-146 ◽

Author(s):

Guangsheng Chi ◽

Gongsheng Li ◽

Chunlong Sun ◽

Xianzheng Jia

Keyword(s):

Diffusion Coefficient ◽

Diffusion Equation ◽

Numerical Solution ◽

Fractional Diffusion ◽

Fractional Diffusion Equation ◽

Time Fractional Diffusion Equation ◽

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