Backward Difference Formulae: The Energy Technique for Subdiffusion Equation

Journal of Scientific Computing ◽

10.1007/s10915-021-01509-9 ◽

2021 ◽

Vol 87 (3) ◽

Author(s):

Minghua Chen ◽

Fan Yu ◽

Zhi Zhou

Keyword(s):

Subdiffusion Equation

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A Generalized Crank-Nicolson Method for the Solution of the Subdiffusion Equation

2018 23rd International Conference on Methods & Models in Automation & Robotics (MMAR) ◽

10.1109/mmar.2018.8485908 ◽

2018 ◽

Author(s):

Marek Blasik

Keyword(s):

Subdiffusion Equation ◽

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Numerical method for two dimensional fractional reaction subdiffusion equation

The European Physical Journal Special Topics ◽

10.1140/epjst/e2013-01977-9 ◽

2013 ◽

Vol 222 (8) ◽

pp. 1961-1973 ◽

Author(s):

H. Huang ◽

X. Cao

Keyword(s):

Numerical Method ◽

Two Dimensional ◽

Subdiffusion Equation ◽

Fractional Reaction

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Identifying source term in the subdiffusion equation with L 2-TV regularization

Inverse Problems ◽

10.1088/1361-6420/ac1e7f ◽

2021 ◽

Author(s):

Bin Fan ◽

Chuanju Xu

Keyword(s):

Source Term ◽

Tv Regularization ◽

Subdiffusion Equation

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A novel ADI Galerkin spectral element method for the solution of two-dimensional time fractional subdiffusion equation

International Journal of Computer Mathematics ◽

10.1080/00207160.2020.1792450 ◽

2020 ◽

pp. 1-23

Author(s):

Marziyeh Saffarian ◽

Akbar Mohebbi

Keyword(s):

Spectral Element Method ◽

Spectral Element ◽

Two Dimensional ◽

Subdiffusion Equation ◽

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Numerical simulation with high order accuracy for the time fractional reaction–subdiffusion equation

Mathematics and Computers in Simulation ◽

10.1016/j.matcom.2017.03.008 ◽

2017 ◽

Vol 140 ◽

pp. 125-138 ◽

Author(s):

Y. Chen ◽

Chang-Ming Chen

Keyword(s):

Numerical Simulation ◽

High Order Accuracy ◽

Order Accuracy ◽

Subdiffusion Equation ◽

Fractional Reaction

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On positivity preservation in nonlinear finite volume method for multi-term fractional subdiffusion equation on polygonal meshes

Nonlinear Dynamics ◽

10.1007/s11071-018-4077-5 ◽

2018 ◽

Vol 92 (2) ◽

pp. 595-612 ◽

Author(s):

Xuehua Yang ◽

Qi Zhang ◽

Guangwei Yuan ◽

Zhiqiang Sheng

Keyword(s):

Finite Volume Method ◽

Finite Volume ◽

Polygonal Meshes ◽

Positivity Preservation ◽

Subdiffusion Equation ◽

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Unconditional convergence of linearized orthogonal spline collocation algorithm for semilinear subdiffusion equation with nonsmooth solution

Numerical Methods for Partial Differential Equations ◽

10.1002/num.22583 ◽

2020 ◽

Author(s):

Haixiang Zhang ◽

Xuehua Yang ◽

Da Xu

Keyword(s):

Unconditional Convergence ◽

Spline Collocation ◽

Orthogonal Spline Collocation ◽

Subdiffusion Equation

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An implicit compact finite difference method for the fractional reaction-subdiffusion equation

International Journal of Applied Mathematical Research ◽

10.14419/ijamr.v3i4.3678 ◽

2014 ◽

Vol 3 (4) ◽

pp. 579 ◽

Author(s):

Behnam Sepehrian ◽

Mahboobeh Jabbari

Keyword(s):

Finite Difference ◽

Finite Difference Method ◽

Difference Method ◽

Compact Finite Difference ◽

Compact Finite Difference Method ◽

Subdiffusion Equation ◽

Fractional Reaction

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A collocation method based on reproducing kernel for a modified anomalous subdiffusion equation

Numerical Methods for Partial Differential Equations ◽

10.1002/num.21809 ◽

2013 ◽

Vol 30 (1) ◽

pp. 289-300 ◽

Author(s):

Wei Jiang ◽

Zhong Chen

Keyword(s):

Collocation Method ◽

Reproducing Kernel ◽

Subdiffusion Equation

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ABOUT THE CONVERGENCE OF A NUMERICAL SCHEME OF HIGH ORDER TO SOLVE FRACTIONAL REACTION-SUBDIFFUSION EQUATION

International Journal of Apllied Mathematics ◽

10.12732/ijam.v27i4.5 ◽

2014 ◽

Vol 27 (4) ◽

Author(s):

J.A.J. Avila ◽

A.J. Parreira ◽

J.C.Z. Aguilar

Keyword(s):

Numerical Scheme ◽

Subdiffusion Equation ◽

Fractional Reaction

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