346 citations · 352 across the 11 of their papers we have counts for
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Some new numerical schemes for delay sub-diffusion equations via the idea of symmetry
Dakang Cen, Caixia Ou, Seakweng Vong +1
In this work, we propose several novel numerical schemes that synergistically integrates the method and symmetric fractional-order reduction (SFOR) method, specifically design…
A tensor SVD-like decomposition based on the semi-tensor product of tensors
Zhuo-Ran Chen, Seak-Weng Vong, Ze-Jia Xie
In this paper, we define a semi-tensor product for third-order tensors. Based on this definition, we present a new type of tensor decomposition strategy and give the specific algor…
Second-order and nonuniform time-stepping schemes for time fractional evolution equations with time-space dependent coefficients
Pin Lyu, Seakweng Vong
The numerical analysis of time fractional evolution equations with the second-order elliptic operator including general time-space dependent variable coefficients is challenging, e…
A symmetric fractional-order reduction method for direct nonuniform approximations of semilinear diffusion-wave equations
Pin Lyu, Seakweng Vong
We introduce a symmetric fractional-order reduction (SFOR) method to construct numerical algorithms on general nonuniform temporal meshes for semilinear fractional diffusion-wave e…
An efficient second-order convergent scheme for one-side space fractional diffusion equations with variable coefficients
Xue-lei Lin, Pin Lyu, Michael K. Ng +2
In this paper, a second order finite difference scheme is investigated for time-dependent one-side space fractional diffusion equations with variable coefficients. The existing sch…
A linearized second-order scheme for nonlinear time fractional Klein-Gordon type equations
Pin Lyu, Seakweng Vong
We consider difference schemes for nonlinear time fractional Klein-Gordon type equations in this paper. A linearized scheme is proposed to solve the problem. As a result, iterative…
On a second order scheme for space fractional diffusion equations with variable coefficients
Seakweng Vong, Pin Lyu
We study a second order scheme for spatial fractional differential equations with variable coefficients. Previous results mainly concentrate on equations with diffusion coefficient…
High order difference schemes for a time fractional differential equation with Neumann boundary conditions
Seakweng Vong, Zhibo Wang
Based on our recent results, in this paper, a compact finite difference scheme is derived for a time fractional differential equation subject to the Neumann boundary conditions. Th…
A high order ADI scheme for the two-dimensional time fractional diffusion-wave equation
Zhibo Wang, Seakweng Vong
In this paper, a compact alternating direction implicit (ADI) finite difference scheme for the two-dimensional time fractional diffusion-wave equation is developed, with temporal a…
Compact difference schemes for the modified anomalous fractional sub-diffusion equation and the fractional diffusion-wave equation
Zhibo Wang, Seakweng Vong
In this paper, compact finite difference schemes for the modified anomalous fractional sub-diffusion equation and fractional diffusion-wave equation are studied. Schemes proposed p…