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A novel meshless method based on RBF for solving variable-order time fractional advection-diffusion-reaction equation in linear or nonlinear systems[Formula presented] Journal article
Xu,Yi, Sun,Hong Guang, Zhang,Yuhui, Sun,Hai Wei, Lin,Ji. A novel meshless method based on RBF for solving variable-order time fractional advection-diffusion-reaction equation in linear or nonlinear systems[Formula presented][J]. Computers and Mathematics with Applications, 2023, 142, 107-120.
Authors:  Xu,Yi;  Sun,Hong Guang;  Zhang,Yuhui;  Sun,Hai Wei;  Lin,Ji
Favorite | TC[WOS]:6 TC[Scopus]:7  IF:2.9/2.6 | Submit date：2023/08/03
Meshless Method  Nonlinear  Time Fractional Advection-diffusion-reaction Equation  Variable-order Fractional Derivative  
Robust fast method for variable-order time-fractional diffusion equations without regularity assumptions of the true solutions Journal article
Zhang, Jiali, Fang, Zhi Wei, Sun, Hai Wei. Robust fast method for variable-order time-fractional diffusion equations without regularity assumptions of the true solutions[J]. Applied Mathematics and Computation, 2022, 430, 127273.
Authors:  Zhang, Jiali;  Fang, Zhi Wei;  Sun, Hai Wei
Favorite | TC[WOS]:4 TC[Scopus]:6  IF:3.5/3.1 | Submit date：2022/06/13
Exponential-sum-approximation Method  Fast Algorithm  Variable-order Caputo Fractional Derivative  
Fast Second-Order Evaluation for Variable-Order Caputo Fractional Derivative with Applications to Fractional Sub-Diffusion Equations Journal article
Zhang, Jia Li, Fang, Zhi Wei, Sun, Hai Wei. Fast Second-Order Evaluation for Variable-Order Caputo Fractional Derivative with Applications to Fractional Sub-Diffusion Equations[J]. Numerical Mathematics, 2022, 15(1), 200-226.
Authors:  Zhang, Jia Li;  Fang, Zhi Wei;  Sun, Hai Wei
Favorite | TC[WOS]:9 TC[Scopus]:9  IF:1.9/1.3 | Submit date：2022/05/17
Convergence  Exponential-sum-approximation Method  Fast Algorithm  Stability  Time-fractional Sub-diffusion Equation  Variable-order Caputo Fractional Derivative  
A Fast Algorithm for the Variable-Order Spatial Fractional Advection-Diffusion Equation Journal article
Pang, Hong Kui, Sun, Hai Wei. A Fast Algorithm for the Variable-Order Spatial Fractional Advection-Diffusion Equation[J]. Journal of Scientific Computing, 2021, 87(1), 15.
Authors:  Pang, Hong Kui;  Sun, Hai Wei
Favorite | TC[WOS]:11 TC[Scopus]:11  IF:2.8/2.7 | Submit date：2021/12/07
Fractional Derivative Of Variable-order  Finite Difference Method  Polynomial Interpolation  Low-rank Approximation  Stability And Convergence  
A fast method for variable-order Caputo fractional derivative with applications to time-fractional diffusion equations Journal article
Fang,Zhi Wei, Sun,Hai Wei, Wang,Hong. A fast method for variable-order Caputo fractional derivative with applications to time-fractional diffusion equations[J]. Computers and Mathematics with Applications, 2020, 80(5), 1443-1458.
Authors:  Fang,Zhi Wei;  Sun,Hai Wei;  Wang,Hong
Favorite | TC[WOS]:43 TC[Scopus]:46  IF:2.9/2.6 | 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  
Crank-Nicolson-weighted-shifted-Grünwald-difference schemes for space Riesz variable-order fractional diffusion equations Journal article
Lin,Fu Rong, Wang,Qiu Ya, Jin,Xiao Qing. Crank-Nicolson-weighted-shifted-Grünwald-difference schemes for space Riesz variable-order fractional diffusion equations[J]. Numerical Algorithms, 2020, 87(2), 601-631.
Authors:  Lin,Fu Rong;  Wang,Qiu Ya;  Jin,Xiao Qing
Favorite | TC[WOS]:12 TC[Scopus]:9  IF:1.7/1.9 | Submit date：2021/03/09
Accuracy  Cn-wsgd Scheme  Stability  Variable-order Fractional Derivative