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High dimensional Riesz space distributed-order advection-dispersion equations with ADI scheme in compression format Journal article
Electronic Research Archive, 2022,Volume: 30,Issue: 4,Page: 1463-1476
Authors:  Chou, L. K.;  Lei, S. L.
Favorite |  | TC[WOS]:0 TC[Scopus]:0 | Submit date:2022/07/27
High Dimension  Advection-dispersion Equations  Riesz Fractional Derivative  Distributed-order  Alternating Direction Implicit Method  Compression Format  
A preconditioner based on sine transform for two-dimensional semi-linear Riesz space fractional diffusion equations in convex domains Journal article
Applied Numerical Mathematics, 2021,Volume: 169,Page: 289-302
Authors:  Huang, Xin;  Sun, Hai Wei
Favorite |  | TC[WOS]:3 TC[Scopus]:3 | Submit date:2021/12/08
Gmres Method  Penalization  Riesz Fractional Derivative  Sine Transform Based Preconditioner  Toeplitz Matrix  
Crank-Nicolson-weighted-shifted-Grünwald-difference schemes for space Riesz variable-order fractional diffusion equations Journal article
Numerical Algorithms, 2021,Volume: 87,Issue: 2,Page: 601-631
Authors:  Lin,Fu Rong;  Wang,Qiu Ya;  Jin,Xiao Qing
Favorite |  | TC[WOS]:6 TC[Scopus]:2 | Submit date:2021/03/09
Accuracy  Cn-wsgd Scheme  Stability  Variable-order Fractional Derivative  
An Efficient Second‑Order Convergent Scheme for One‑Side Space Fractional Diffusion Equations with Variable Coefficients Journal article
Communications on Applied Mathematics and Computation, 2020,Volume: 2,Issue: 2,Page: 215--239
Authors:  Lin Xuelei;  Lyu Pin;  Michael K. Ng;  Sun HW(孫海衛);  Seak Weng Vong
Adobe PDF | Favorite |  | TC[WOS]:0 TC[Scopus]:0 | Submit date:2022/07/28
One-side Space Fractional Diffusion Equation  Variable Diffusion Coefficients  Stability And Convergence  High-order Finite-difference Scheme  Preconditioner  
Second-order BDF time approximation for Riesz space-fractional diffusion equations Journal article
INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS, 2018,Volume: 95,Issue: 1,Page: 144-158
Authors:  Liao, Hong-Lin;  Lyu, Pin;  Vong, Seakweng;  Liao, Hong-Lin;  Lyu, Pin;  Vong, Seakweng
Favorite |  | TC[WOS]:22 TC[Scopus]:21 | Submit date:2018/10/30
Fractional Diffusion Equation  Riesz Space Derivative  Fractional Centred Difference  Bdf2 Formula  Discrete Energy Method  
A splitting preconditioner for Toeplitz-like linear systems arising from fractional diffusion equations Journal article
SIAM Journal on Matrix Analysis and Applications, 2017,Volume: 38,Issue: 4,Page: 1580-1614
Authors:  Lin,Xue Lei;  Ng,Michael K.;  Sun,Hai Wei
Adobe PDF | Favorite |  | TC[WOS]:40 TC[Scopus]:41 | Submit date:2019/05/27
Diagonal-times-toeplitz Matrices  Preconditioners  Space-fractional Diffusion Equations Krylov Subspace Methods  Variable Coecients  
A note on the stability of a second order finite difference scheme for space fractional diffusion equations Journal article
Numerical Algebra, Control and Optimization, 2014,Volume: 4,Issue: 4,Page: 317-325
Authors:  Qu W.;  Lei S.-L.;  Vong S.-W.
Favorite |  | TC[WOS]:4 TC[Scopus]:4 | Submit date:2018/12/24
Riemann-liouville Derivative  Second Order Finite Difference Scheme  Space Fractional Diffusion Equation  Unconditionally Stable  
A note on the stability of a second order finite difference scheme for space fractional diffusion equations Journal article
Numerical Algebra, Control and Optimization, 2014,Volume: 4,Issue: 4,Page: 317-325
Authors:  Qu,Wei;  Lei,Siu Long;  Vong,Seak Weng
Favorite |  | TC[WOS]:4 TC[Scopus]:4 | Submit date:2021/03/09
Riemann-liouville Derivative  Second Order Finite Difference Scheme  Space Fractional Diffusion Equation  Unconditionally Stable