High-order quasi-compact difference schemes for fractional diffusion equations

Communications in Mathematical Sciences ◽

10.4310/cms.2017.v15.n5.a1 ◽

2017 ◽

Vol 15 (5) ◽

pp. 1183-1209 ◽

Author(s):

Yanyan Yu ◽

Weihua Deng ◽

Yujiang Wu

Keyword(s):

Fractional Diffusion ◽

Difference Schemes ◽

Diffusion Equations ◽

Fractional Diffusion Equations ◽

Compact Difference Schemes ◽

Compact Difference

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Distributed Solution of High-Order Compact Difference Schemes for Multidimensional Convection-Diffusion Equations

Computational Science and Its Applications — ICCSA 2003 - Lecture Notes in Computer Science ◽

10.1007/3-540-44842-x_24 ◽

2003 ◽

pp. 226-235

Author(s):

Matthew F. Dixon ◽

Kenneth Tan

Keyword(s):

Difference Schemes ◽

Diffusion Equations ◽

Convection Diffusion ◽

Compact Difference Schemes ◽

Compact Difference

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Finite difference schemes for the two-dimensional multi-term time-fractional diffusion equations with variable coefficients

Computational and Applied Mathematics ◽

10.1007/s40314-021-01551-1 ◽

2021 ◽

Vol 40 (5) ◽

Author(s):

Mingrong Cui

Keyword(s):

Finite Difference ◽

Fractional Diffusion ◽

Variable Coefficients ◽

Difference Schemes ◽

Diffusion Equations ◽

Finite Difference Schemes ◽

Two Dimensional ◽

Fractional Diffusion Equations

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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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Crank-Nicolson-weighted-shifted-Grünwald-difference schemes for space Riesz variable-order fractional diffusion equations

Numerical Algorithms ◽

10.1007/s11075-020-00980-z ◽

2020 ◽

Author(s):

Fu-Rong Lin ◽

Qiu-Ya Wang ◽

Xiao-Qing Jin

Keyword(s):

Fractional Diffusion ◽

Difference Schemes ◽

Diffusion Equations ◽

Variable Order ◽

Fractional Diffusion Equations ◽

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Compact difference schemes for the modified anomalous fractional sub-diffusion equation and the fractional diffusion-wave equation

Journal of Computational Physics ◽

10.1016/j.jcp.2014.08.012 ◽

2014 ◽

Vol 277 ◽

pp. 1-15 ◽

Author(s):

Zhibo Wang ◽

Seakweng Vong

Keyword(s):

Wave Equation ◽

Diffusion Equation ◽

Fractional Diffusion ◽

Difference Schemes ◽

Diffusion Wave ◽

Compact Difference Schemes ◽

Compact Difference

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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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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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Efficient second-order ADI difference schemes for three-dimensional Riesz space-fractional diffusion equations

Computers & Mathematics with Applications ◽

10.1016/j.camwa.2021.06.016 ◽

2021 ◽

Vol 98 ◽

pp. 24-39

Author(s):

Chen Zhu ◽

Bingyin Zhang ◽

Hongfei Fu ◽

Jun Liu

Keyword(s):

Three Dimensional ◽

Fractional Diffusion ◽

Second Order ◽

Riesz Space ◽

Difference Schemes ◽

Diffusion Equations ◽

Fractional Diffusion Equations

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Maximum norm error analysis of difference schemes for fractional diffusion equations

Applied Mathematics and Computation ◽

10.1016/j.amc.2014.12.151 ◽

2015 ◽

Vol 256 ◽

pp. 299-314 ◽

Author(s):

Jincheng Ren ◽

Zhi-zhong Sun

Keyword(s):

Error Analysis ◽

Fractional Diffusion ◽

Difference Schemes ◽

Diffusion Equations ◽

Maximum Norm ◽

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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