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20162021
most citedA symmetric fractional-order reduction method for direct nonuniform approximations of semilinear diffusion-wave equations

4 citations · 4 across the 5 of their papers we have counts for

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5 papers

math.NA2021

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…

math.NA2021★ 4 cited

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…

math.NA2019

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…

math.NA2017

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…

math.NA2016

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…