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A fast method for variable-order Caputo fractional derivative with applications to time-fractional diffusion equations Journal article
Computers and Mathematics with Applications, 2020,Volume: 80,Issue: 5,Page: 1443-1458
Authors:  Fang,Zhi Wei;  Sun,Hai Wei;  Wang,Hong
Favorite |  | TC[WOS]:7 TC[Scopus]:10 | Submit date:2021/03/09
Fast and memory-saving algorithm  Shifted binary block partition  Time-fractional diffusion equations  Uniform polynomial approximation  Variable-order Caputo fractional derivative  
High accuracy error estimates of a Galerkin finite element method for nonlinear time fractional diffusion equation Journal article
Numerical Methods for Partial Differential Equations, 2020,Volume: 36,Issue: 2,Page: 284-301
Authors:  Ren,Jincheng;  Shi,Dongyang;  Vong,Seakweng
Favorite |  | TC[WOS]:3 TC[Scopus]:4 | Submit date:2021/03/09
fast convolution algorithm  Galerkin finite element method  nonlinear time fractional diffusion equation  superconvergent result  
Numerical solution for multi-dimensional Riesz fractional nonlinear reaction–diffusion equation by exponential Runge–Kutta method Journal article
Journal of Applied Mathematics and Computing, 2020,Volume: 62,Issue: 1-2,Page: 449-472
Authors:  Zhang,Lu;  Sun,Hai Wei
Favorite |  | TC[WOS]:3 TC[Scopus]:3 | Submit date:2021/03/09
Exponential Runge–Kutta method  Matrix exponential  Riesz fractional reaction–diffusion equation  Shift-invert Lanczos method  Toeplitz structure  
A circulant preconditioner for the Riesz distributed-order space-fractional diffusion equations Journal article
Linear and Multilinear Algebra, 2020
Authors:  Huang,Xin;  Fang,Zhi Wei;  Sun,Hai Wei;  Zhang,Chun Hua
Favorite |  | TC[WOS]:0 TC[Scopus]:0 | Submit date:2021/03/09
circulant preconditioner  Distributed-order  preconditioned conjugated gradient method  space-fractional diffusion equations  
A fast linearized numerical method for nonlinear time-fractional diffusion equations Journal article
Numerical Algorithms, 2020
Authors:  Lyu,Pin;  Vong,Seakweng
Favorite |  | TC[WOS]:1 TC[Scopus]:2 | Submit date:2021/03/09
Caputo derivative  Linearized method  Nonlinear time-fractional diffusion equation  
Splitting preconditioning based on sine transform for time-dependent Riesz space fractional diffusion equations Journal article
Journal of Applied Mathematics and Computing, 2020
Authors:  Lu,Xin;  Fang,Zhi Wei;  Sun,Hai Wei
Favorite |  | TC[WOS]:0 TC[Scopus]:0 | Submit date:2021/03/09
GMRES method  Riesz space fractional diffusion equations  Shifted Grünwald discretization  Sine-transform-based splitting preconditioner  Symmetric positive definite Toeplitz matrix  
Crank-Nicolson-weighted-shifted-Grünwald-difference schemes for space Riesz variable-order fractional diffusion equations Journal article
Numerical Algorithms, 2020
Authors:  Lin,Fu Rong;  Wang,Qiu Ya;  Jin,Xiao Qing
Favorite |  | TC[WOS]:2 TC[Scopus]:1 | Submit date:2021/03/09
Accuracy  CN-WSGD scheme  Stability  Variable-order fractional derivative  
An implicit-explicit preconditioned direct method for pricing options under regime-switching tempered fractional partial differential models Journal article
Numerical Algorithms, 2020
Authors:  Chen,Xu;  Ding,Deng;  Lei,Siu Long;  Wang,Wenfei
Favorite |  | TC[WOS]:0 TC[Scopus]:0 | Submit date:2021/03/09
Direct method  Implicit-explicit finite difference method  Multi-state European options pricing  Precondition  Tempered fractional partial differential equation