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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  
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]:5 TC[Scopus]:4 | Submit date:2021/03/09
fast convolution algorithm  Galerkin finite element method  nonlinear time fractional diffusion equation  superconvergent result  
High-order compact schemes for fractional differential equations with mixed derivatives Journal article
Numerical Methods for Partial Differential Equations, 2017,Volume: 33,Issue: 6,Page: 2141-2158
Authors:  Vong S.;  Shi C.;  Lyu P.
Favorite |  | TC[WOS]:2 TC[Scopus]:2 | Submit date:2018/12/24
Fractional Differential Equation  High-order Compact Scheme  Mixed Derivatives  
A compact ADI scheme for the two dimensional time fractional diffusion-wave equation in polar coordinates Journal article
Numerical Methods for Partial Differential Equations, 2015,Volume: 31,Issue: 5,Page: 1692-1712
Authors:  Vong,Seakweng;  Wang,Zhibo
Favorite |  | TC[WOS]:4 TC[Scopus]:4 | Submit date:2021/03/09
alternating direction implicit method  compact difference scheme  energy method  polar coordinates  
A high-order compact scheme for the nonlinear fractional Klein-Gordon equation Journal article
Numerical Methods for Partial Differential Equations, 2015,Volume: 31,Issue: 3,Page: 706-722
Authors:  Vong S.;  Wang Z.
Favorite |  | TC[WOS]:20 TC[Scopus]:23 | Submit date:2018/12/24
Compact Finite Difference Scheme  Convergence  Nonlinear Fractional Klein-gordon Equation  Solvability  Stability  
A compact ADI scheme for the two dimensional time fractional diffusion-wave equation in polar coordinates Journal article
Numerical Methods for Partial Differential Equations, 2015,Volume: 31,Issue: 5,Page: 1692-1712
Authors:  Vong S.;  Wang Z.
Favorite |  | TC[WOS]:4 TC[Scopus]:4 | Submit date:2018/12/24
Alternating Direction Implicit Method  Compact Difference Scheme  Energy Method  Polar Coordinates