Preconditioned quasi-compact boundary value methods for space-fractional diffusion equations

Numerical Algorithms ◽

10.1007/s11075-019-00773-z ◽

2019 ◽

Vol 84 (2) ◽

pp. 633-649 ◽

Author(s):

Yongtao Zhou ◽

Chengjian Zhang ◽

Luigi Brugnano

Keyword(s):

Boundary Value ◽

Fractional Diffusion ◽

Diffusion Equations ◽

Boundary Value Methods ◽

Fractional Diffusion Equations ◽

Compact Boundary

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Strang-type preconditioners for solving fractional diffusion equations by boundary value methods

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2014.08.011 ◽

2015 ◽

Vol 277 ◽

pp. 73-86 ◽

Author(s):

Xian-Ming Gu ◽

Ting-Zhu Huang ◽

Xi-Le Zhao ◽

Hou-Biao Li ◽

Liang Li

Keyword(s):

Boundary Value ◽

Fractional Diffusion ◽

Diffusion Equations ◽

Boundary Value Methods ◽

Fractional Diffusion Equations

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Accuracy of Finite Element Methods for Boundary-Value Problems of Steady-State Fractional Diffusion Equations

Journal of Scientific Computing ◽

10.1007/s10915-016-0196-7 ◽

2016 ◽

Vol 70 (1) ◽

pp. 429-449 ◽

Author(s):

Hong Wang ◽

Danping Yang ◽

Shengfeng Zhu

Keyword(s):

Finite Element ◽

Steady State ◽

Boundary Value Problems ◽

Finite Element Methods ◽

Boundary Value ◽

Fractional Diffusion ◽

Diffusion Equations ◽

Fractional Diffusion Equations

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Initial-boundary value problem for distributed order time-fractional diffusion equations

Asymptotic Analysis ◽

10.3233/asy-191532 ◽

2019 ◽

Vol 115 (1-2) ◽

pp. 95-126 ◽

Author(s):

Zhiyuan Li ◽

Yavar Kian ◽

Éric Soccorsi

Keyword(s):

Boundary Value Problem ◽

Boundary Value ◽

Initial Boundary ◽

Initial Boundary Value Problem ◽

Fractional Diffusion ◽

Diffusion Equations ◽

Fractional Diffusion Equations ◽

Initial Boundary Value ◽

Distributed Order

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Uniqueness in inverse boundary value problems for fractional diffusion equations

Inverse Problems ◽

10.1088/0266-5611/32/1/015004 ◽

2015 ◽

Vol 32 (1) ◽

pp. 015004 ◽

Author(s):

Zhiyuan Li ◽

Oleg Yu Imanuvilov ◽

Masahiro Yamamoto

Keyword(s):

Boundary Value Problems ◽

Boundary Value ◽

Fractional Diffusion ◽

Diffusion Equations ◽

Inverse Boundary ◽

Fractional Diffusion Equations ◽

Inverse Boundary Value Problems

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Boundary value problems for fractional diffusion equations

Physica A Statistical Mechanics and its Applications ◽

10.1016/s0378-4371(99)00503-8 ◽

2000 ◽

Vol 278 (1-2) ◽

pp. 107-125 ◽

Author(s):

Ralf Metzler ◽

Joseph Klafter

Keyword(s):

Boundary Value Problems ◽

Boundary Value ◽

Fractional Diffusion ◽

Diffusion Equations ◽

Fractional Diffusion Equations

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Initial-boundary value problems for multi-term time-fractional diffusion equations with \begin{document}$ x $\end{document}-dependent coefficients

Evolution Equations and Control Theory ◽

10.3934/eect.2020001 ◽

2020 ◽

Vol 9 (1) ◽

pp. 153-179 ◽

Author(s):

Zhiyuan Li ◽

◽

Xinchi Huang ◽

Masahiro Yamamoto ◽

◽

...

Keyword(s):

Boundary Value Problems ◽

Boundary Value ◽

Initial Boundary ◽

Fractional Diffusion ◽

Diffusion Equations ◽

Initial Boundary Value Problems ◽

Fractional Diffusion Equations ◽

Initial Boundary Value

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Confined Anomalous Dynamics: A Fractional Diffusion Approach

MRS Proceedings ◽

10.1557/proc-543-281 ◽

1998 ◽

Vol 543 ◽

Author(s):

Ralf Metzler ◽

Joseph Klafter

Keyword(s):

Boundary Value Problems ◽

Brownian Particle ◽

Boundary Value ◽

Fractional Diffusion ◽

Diffusion Equations ◽

Coloured Noise ◽

Fractional Diffusion Equations ◽

Escape Problem ◽

Anomalous Dynamics

We study different boundary value problems for fractional diffusion equations which describe a non-Brownian particle. Absorbing and reflecting walls of a box, and the escape problem through a fluctuating bottleneck with coloured noise are considered.

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A fast locally refined method for the boundary value problem of fractional diffusion equations

ICFDA'14 International Conference on Fractional Differentiation and Its Applications 2014 ◽

10.1109/icfda.2014.6967432 ◽

2014 ◽

Author(s):

Jinhong Jia ◽

Che Wang ◽

Hong Wang

Keyword(s):

Boundary Value Problem ◽

Boundary Value ◽

Fractional Diffusion ◽

Diffusion Equations ◽

Fractional Diffusion Equations ◽

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Kronecker product based preconditioners for boundary value method discretizations of space fractional diffusion equations

Mathematics and Computers in Simulation ◽

10.1016/j.matcom.2019.11.007 ◽

2020 ◽

Vol 170 ◽

pp. 316-331

Author(s):

Hao Chen ◽

Qiuyue Huang

Keyword(s):

Kronecker Product ◽

Boundary Value ◽

Fractional Diffusion ◽

Diffusion Equations ◽

Fractional Diffusion Equations ◽

Boundary Value Method

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Initial-boundary value problems for multi-term time-fractional diffusion equations with positive constant coefficients

Applied Mathematics and Computation ◽

10.1016/j.amc.2014.11.073 ◽

2015 ◽

Vol 257 ◽

pp. 381-397 ◽

Author(s):

Zhiyuan Li ◽

Yikan Liu ◽

Masahiro Yamamoto

Keyword(s):

Boundary Value Problems ◽

Positive Constant ◽

Boundary Value ◽

Initial Boundary ◽

Fractional Diffusion ◽

Diffusion Equations ◽

Initial Boundary Value Problems ◽

Fractional Diffusion Equations ◽

Constant Coefficients ◽

Initial Boundary Value

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