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Fast implicit difference schemes for time-space fractional diffusion equations with the integral fractional Laplacian Journal article
Mathematical Methods in the Applied Sciences, 2021,Volume: 44,Issue: 1,Page: 441-463
Authors:  Gu,Xian Ming;  Sun,Hai Wei;  Zhang,Yanzhi;  Zhao,Yong Liang
Favorite |  | TC[WOS]:1 TC[Scopus]:2 | Submit date:2021/03/09
Caputo derivative  circulant preconditioner  fractional diffusion equations  integral fractional Laplacian  Krylov subspace solvers  
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]:8 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  
A nonuniform L2 formula of Caputo derivative and its application to a fractional Benjamin–Bona–Mahony-type equation with nonsmooth solutions Journal article
Numerical Methods for Partial Differential Equations, 2020,Volume: 36,Issue: 3,Page: 579-600
Authors:  Lyu,Pin;  Vong,Seakweng
Favorite |  | TC[WOS]:2 TC[Scopus]:2 | Submit date:2021/03/09
Caputo derivative  finite difference scheme  fractional BBM-type equation  nonuniform time grid  unconditional convergence  
An efficient numerical method for q-fractional differential equations Journal article
Applied Mathematics Letters, 2020,Volume: 103
Authors:  Lyu,Pin;  Vong,Seakweng
Favorite |  | TC[WOS]:4 TC[Scopus]:4 | Submit date:2021/03/09
Caputo q-fractional derivative  Fractional nonlinear equation  Nonuniform mesh  
A fast linearized numerical method for nonlinear time-fractional diffusion equations Journal article
Numerical Algorithms, 2020
Authors:  Lyu,Pin;  Vong,Seakweng
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Caputo derivative  Linearized method  Nonlinear time-fractional diffusion equation  
A High-Order Method with a Temporal Nonuniform Mesh for a Time-Fractional Benjamin–Bona–Mahony Equation Journal article
Journal of Scientific Computing, 2019,Volume: 80,Issue: 3,Page: 1607-1628
Authors:  Lyu,Pin;  Vong,Seakweng
Favorite |  | TC[WOS]:16 TC[Scopus]:16 | Submit date:2021/03/09
Caputo derivative  Graded mesh  High-order method  Nonuniform mesh  Time-fractional nonlinear equation  
A graded scheme with bounded grading for a time-fractional Boussinesq type equation Journal article
Applied Mathematics Letters, 2019,Volume: 92,Page: 35-40
Authors:  Lyu,Pin;  Vong,Seakweng
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Caputo derivative  High-order method  Nonuniform mesh  Time-fractional nonlinear equation  
A Finite Difference Method for Boundary Value Problems of a Caputo Fractional Differential Equation Conference paper
Authors:  Lyu, Pin;  Vong, Seakweng;  Wang, Zhibo
Favorite |  | TC[WOS]:6 TC[Scopus]:5 | Submit date:2018/10/30
Boundary value problem  Caputo fractional derivative  Finite difference method  Convergence  Derivative bound  
Stability of fully discrete schemes with interpolation-type fractional formulas for distributed-order subdiffusion equations Journal article
NUMERICAL ALGORITHMS, 2017,Volume: 75,Issue: 4,Page: 845-878
Authors:  Liao, Hong-lin;  Lyu, Pin;  Vong, Seakweng;  Zhao, Ying
Favorite |  | TC[WOS]:16 TC[Scopus]:17 | Submit date:2018/10/30
Fractional Subdiffusion Equations  Caputo Derivative  Caputo's Bdf Formulas  Minimum-maximum Principle  Discrete Energy Method  Stability And Convergence  
A Finite Difference Method for Boundary Value Problems of a Caputo Fractional Differential Equation Journal article
East Asian Journal on Applied Mathematics, 2017,Volume: 7,Issue: 4,Page: 752-766
Authors:  Lyu,Pin;  Vong,Seakweng;  Wang,Zhibo
Favorite |  | TC[WOS]:6 TC[Scopus]:5 | Submit date:2021/03/09
Boundary value problem  Caputo fractional derivative  Convergence  Derivative bound  Finite difference method