Fast algorithms for high-order numerical methods for space-fractional diffusion equations

International Journal of Computer Mathematics ◽

10.1080/00207160.2016.1149579 ◽

2016 ◽

Vol 94 (5) ◽

pp. 1062-1078 ◽

Author(s):

Siu-Long Lei ◽

Yun-Chi Huang

Keyword(s):

Numerical Methods ◽

Fast Algorithms ◽

Fractional Diffusion ◽

Diffusion Equations ◽

Fractional Diffusion Equations

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Fast algorithms for high-dimensional variable-order space-time fractional diffusion equations

Computational and Applied Mathematics ◽

10.1007/s40314-021-01496-5 ◽

2021 ◽

Vol 40 (4) ◽

Author(s):

Lei Zhang ◽

Guo-Feng Zhang

Keyword(s):

Fast Algorithms ◽

Fractional Diffusion ◽

Diffusion Equations ◽

High Dimensional ◽

Variable Order ◽

Fractional Diffusion Equations ◽

Dimensional Variable

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A High Order Finite Difference Method for Tempered Fractional Diffusion Equations with Applications to the CGMY Model

SIAM Journal on Scientific Computing ◽

10.1137/18m1172739 ◽

2018 ◽

Vol 40 (5) ◽

pp. A3322-A3343 ◽

Author(s):

Xu Guo ◽

Yutian Li ◽

Hong Wang

Keyword(s):

Finite Difference ◽

Finite Difference Method ◽

Difference Method ◽

Fractional Diffusion ◽

Diffusion Equations ◽

Fractional Diffusion Equations ◽

High Order Finite Difference

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Error Analysis of a High Order Method for Time-Fractional Diffusion Equations

SIAM Journal on Scientific Computing ◽

10.1137/15m102664x ◽

2016 ◽

Vol 38 (5) ◽

pp. A2699-A2724 ◽

Author(s):

Chunwan Lv ◽

Chuanju Xu

Keyword(s):

Error Analysis ◽

Fractional Diffusion ◽

Diffusion Equations ◽

Order Method ◽

High Order Method ◽

Fractional Diffusion Equations

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High order schemes for the tempered fractional diffusion equations

Advances in Computational Mathematics ◽

10.1007/s10444-015-9434-z ◽

2015 ◽

Vol 42 (3) ◽

pp. 543-572 ◽

Author(s):

Can Li ◽

Weihua Deng

Keyword(s):

Fractional Diffusion ◽

Diffusion Equations ◽

Fractional Diffusion Equations ◽

High Order Schemes

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A High-Order Accuracy Method for Solving the Fractional Diffusion Equations

Journal of Computational Mathematics ◽

10.4208/jcm.1805-m2017-0081 ◽

2020 ◽

Vol 38 (2) ◽

pp. 239-253 ◽

Author(s):

Maohua Ran and Chengjian Zhang

Keyword(s):

Fractional Diffusion ◽

Diffusion Equations ◽

High Order Accuracy ◽

Order Accuracy ◽

Fractional Diffusion Equations

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A novel high-order approximate scheme for two-dimensional time-fractional diffusion equations with variable coefficient

Computers & Mathematics with Applications ◽

10.1016/j.camwa.2018.11.029 ◽

2019 ◽

Vol 78 (5) ◽

pp. 1288-1301 ◽

Author(s):

Fenling Wang ◽

Yanmin Zhao ◽

Chen Chen ◽

Yabing Wei ◽

Yifa Tang

Keyword(s):

Variable Coefficient ◽

Fractional Diffusion ◽

Diffusion Equations ◽

Two Dimensional ◽

Fractional Diffusion Equations ◽

Approximate Scheme

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A series of high-order quasi-compact schemes for space fractional diffusion equations based on the superconvergent approximations for fractional derivatives

Numerical Methods for Partial Differential Equations ◽

10.1002/num.21947 ◽

2014 ◽

Vol 31 (5) ◽

pp. 1345-1381 ◽

Author(s):

Lijing Zhao ◽

Weihua Deng

Keyword(s):

Fractional Derivatives ◽

Fractional Diffusion ◽

Diffusion Equations ◽

Compact Schemes ◽

Fractional Diffusion Equations

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Numerical methods for the two-dimensional multi-term time-fractional diffusion equations

Computers & Mathematics with Applications ◽

10.1016/j.camwa.2017.07.008 ◽

2017 ◽

Vol 74 (10) ◽

pp. 2253-2268 ◽

Author(s):

Linlin Zhao ◽

Fawang Liu ◽

Vo V. Anh

Keyword(s):

Numerical Methods ◽

Fractional Diffusion ◽

Diffusion Equations ◽

Two Dimensional ◽

Fractional Diffusion Equations

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A mixed-type Galerkin variational formulation and fast algorithms for variable-coefficient fractional diffusion equations

Mathematical Methods in the Applied Sciences ◽

10.1002/mma.4367 ◽

2017 ◽

Vol 40 (14) ◽

pp. 5018-5034 ◽

Author(s):

Yongshan Li ◽

Huanzhen Chen ◽

Hong Wang

Keyword(s):

Variational Formulation ◽

Variable Coefficient ◽

Fast Algorithms ◽

Fractional Diffusion ◽

Diffusion Equations ◽

Fractional Diffusion Equations

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Numerical Methods for Semilinear Fractional Diffusion Equations with Time Delay

Advances in Applied Mathematics and Mechanics ◽

10.4208/aamm.oa-2020-0387 ◽

2022 ◽

Vol 14 (1) ◽

pp. 56-78

Author(s):

global sci

Keyword(s):

Numerical Methods ◽

Fractional Diffusion ◽

Diffusion Equations ◽

Fractional Diffusion Equations

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