A preconditioned fast finite difference scheme for space-fractional diffusion equations in convex domains

Ning Du; Hai-Wei Sun; Hong Wang

doi:10.1007/s40314-019-0769-9

A preconditioned fast finite difference scheme for space-fractional diffusion equations in convex domains

Computational and Applied Mathematics ◽

10.1007/s40314-019-0769-9 ◽

2019 ◽

Vol 38 (1) ◽

Cited By ~ 1

Author(s):

Ning Du ◽

Hai-Wei Sun ◽

Hong Wang

Keyword(s):

Finite Difference ◽

Difference Scheme ◽

Finite Difference Scheme ◽

Fractional Diffusion ◽

Diffusion Equations ◽

Convex Domains ◽

Fractional Diffusion Equations

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A finite difference scheme for semilinear space-fractional diffusion equations with time delay

Applied Mathematics and Computation ◽

10.1016/j.amc.2015.11.071 ◽

2016 ◽

Vol 275 ◽

pp. 238-254 ◽

Cited By ~ 6

Author(s):

Zhaopeng Hao ◽

Kai Fan ◽

Wanrong Cao ◽

Zhizhong Sun

Keyword(s):

Time Delay ◽

Finite Difference ◽

Difference Scheme ◽

Finite Difference Scheme ◽

Fractional Diffusion ◽

Diffusion Equations ◽

Fractional Diffusion Equations ◽

Semilinear Space

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Numerical solutions of fuzzy fractional diffusion equations by an implicit finite difference scheme

Neural Computing and Applications ◽

10.1007/s00521-017-3299-7 ◽

2018 ◽

Vol 31 (8) ◽

pp. 4085-4094 ◽

Cited By ~ 3

Author(s):

Hamzeh Zureigat ◽

Ahmad Izani Ismail ◽

Saratha Sathasivam

Keyword(s):

Finite Difference ◽

Difference Scheme ◽

Finite Difference Scheme ◽

Numerical Solutions ◽

Fractional Diffusion ◽

Diffusion Equations ◽

Fractional Diffusion Equations ◽

Implicit Finite Difference Scheme ◽

Implicit Finite Difference

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A note on the stability of a second order finite difference scheme for space fractional diffusion equations

Numerical Algebra Control & Optimization ◽

10.3934/naco.2014.4.317 ◽

2014 ◽

Vol 4 (4) ◽

pp. 317-325 ◽

Cited By ~ 3

Author(s):

Wei Qu ◽

◽

Siu-Long Lei ◽

Seak-Weng Vong ◽

Keyword(s):

Finite Difference ◽

Difference Scheme ◽

Finite Difference Scheme ◽

Fractional Diffusion ◽

Second Order ◽

Diffusion Equations ◽

Fractional Diffusion Equations ◽

The Stability

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An implicit difference scheme for time-fractional diffusion equations with a time-invariant type variable order

Applied Mathematics Letters ◽

10.1016/j.aml.2021.107270 ◽

2021 ◽

pp. 107270

Author(s):

Xian-Ming Gu ◽

Hai-Wei Sun ◽

Yong-Liang Zhao ◽

Xiangcheng Zheng

Keyword(s):

Difference Scheme ◽

Fractional Diffusion ◽

Diffusion Equations ◽

Variable Order ◽

Implicit Difference Scheme ◽

Fractional Diffusion Equations ◽

Type Variable ◽

Time Invariant

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A new stable finite difference scheme and its error analysis for two‐dimensional singularly perturbed convection–diffusion equations

Numerical Methods for Partial Differential Equations ◽

10.1002/num.22732 ◽

2020 ◽

Author(s):

Kamalesh Kumar ◽

Pramod Chakravarthy Podila

Keyword(s):

Finite Difference ◽

Error Analysis ◽

Difference Scheme ◽

Finite Difference Scheme ◽

Singularly Perturbed ◽

Diffusion Equations ◽

Two Dimensional ◽

Convection Diffusion

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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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An efficient difference scheme for the non-Fickian time-fractional diffusion equations with variable coefficient

Applied Mathematics Letters ◽

10.1016/j.aml.2021.107489 ◽

2021 ◽

pp. 107489

Author(s):

Zhouping Feng ◽

Maohua Ran ◽

Yang Liu

Keyword(s):

Difference Scheme ◽

Variable Coefficient ◽

Fractional Diffusion ◽

Diffusion Equations ◽

Fractional Diffusion Equations

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An Accurate Multi-level Finite Difference Scheme for 1D Diffusion Equations Derived from the Lattice Boltzmann Method

Journal of Statistical Physics ◽

10.1007/s10955-010-0004-y ◽

2010 ◽

Vol 140 (3) ◽

pp. 494-503 ◽

Cited By ~ 11

Author(s):

Shinsuke Suga

Keyword(s):

Finite Difference ◽

Difference Scheme ◽

Lattice Boltzmann Method ◽

Lattice Boltzmann ◽

Finite Difference Scheme ◽

Diffusion Equations ◽

Multi Level ◽

Boltzmann Method

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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 ◽

Cited By ~ 3

Author(s):

Xu Guo ◽

Yutian Li ◽

Hong Wang

Keyword(s):

Finite Difference ◽

Finite Difference Method ◽

Difference Method ◽

Fractional Diffusion ◽

High Order ◽

Diffusion Equations ◽

Fractional Diffusion Equations ◽

High Order Finite Difference

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Optimal Control Problems Driven by Time-Fractional Diffusion Equations on Metric Graphs: Optimality System and Finite Difference Approximation

SIAM Journal on Control and Optimization ◽

10.1137/20m1340332 ◽

2021 ◽

Vol 59 (6) ◽

pp. 4216-4242

Author(s):

Vaibhav Mehandiratta ◽

Mani Mehra ◽

Gunter Leugering

Keyword(s):

Optimal Control ◽

Finite Difference ◽

Optimal Control Problems ◽

Fractional Diffusion ◽

Finite Difference Approximation ◽

Diffusion Equations ◽

Difference Approximation ◽

Control Problems ◽

Metric Graphs ◽

Fractional Diffusion Equations

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