activity
20222026
most citedA temporal multiscale method and its analysis for a system of fractional differential equations

1 citations · 1 across the 7 of their papers we have counts for

collaborators

7 papers

math.NA2026

A Regularized Auxiliary Variable (RAV) Approach for Gradient Flows

Zhaoyang Wang, Ping Lin

In this paper, we propose a regularized auxiliary variable (RAV) approach and construct accurate and robust time-discrete schemes for a large class of gradient flows. By introducin…

math.NA2025

Linear Relaxation Schemes with Asymptotically Compatible Energy Law for Time-Fractional Phase-Field Models

Hui Yu, Zhaoyang Wang, Ping Lin

In this paper, we propose a variable time-step linear relaxation scheme for time-fractional phase-field equations with a free energy density in general polynomial form. The $L1^{+}…

math.NA2025

Second-Order Linear Relaxation Schemes for Time-Fractional Phase-Field Models

Hui Yu, Zhaoyang Wang, Ping Lin

This work uses a linear relaxation method to develop efficient numerical schemes for the time-fractional Allen-Cahn and Cahn-Hilliard equations. The L1+-CN formula is used to discr…

math.NA2025

A thermodynamically consistent phase-field model for mass transport with interfacial reaction and deformation

Zhaoyang Wang, Huaxiong Huang, Ping Lin +1

In this paper, a thermodynamically consistent phase-field model is proposed to describe the mass transport and reaction processes of multiple species in a fluid. A key feature of t…

math.NA2024

Homogenization principle and numerical analysis for fractional stochastic differential equations with different scales

Zhaoyang Wang, Ping Lin

This work is concerned with fractional stochastic differential equations with different scales. We establish the existence and uniqueness of solutions for Caputo fractional stochas…

math.NA2022

A fast front-tracking approach and its analysis for a temporal multiscale flow problem with a fractional-order boundary growth

Zhaoyang Wang, Ping Lin, Lei Zhang

This paper is concerned with a blood flow problem coupled with a slow plaque growth at the artery wall. In the model, the micro (fast) system is the Navier-Stokes equation with a p…