10 papers
Analysis and Approximation of Stochastic Multiscale Subdiffusion Driven by Fractional Gaussian Noise
Jincheng Dong, Ning Du, Xu Guo +2
This paper investigates a stochastic multiscale subdiffusion model driven by fractional Gaussian noise, where the multiscale Abel kernel with variable exponent is us…
Multiscale solution decomposition of nonlocal-in-time problems with application in numerical computation
Mengmeng Liu, Jie Ma, Wenlin Qiu +1
This work develops a multiscale solution decomposition (MSD) method for nonlocal-in-time problems to separate a series of known terms with multiscale singularity from the original…
Long-time error estimate and decay of finite element method to a generalized viscoelastic flow
Yingwen Guo, Yinnian He, Wenlin Qiu +1
This work analyzes the finite element approximation to a viscoelastic flow model, which generalizes the Navier-Stokes equation and Oldroyd's model by introducing the tempered power…
Numerical analysis for subdiffusion problem with non-positive memory
Wenlin Qiu, Xiangcheng Zheng
This work considers the subdiffusion problem with non-positive memory, which not only arises from physical laws with memory, but could be transformed from sophisticated models such…
Finite difference method for nonlinear damped viscoelastic Euler-Bernoulli beam model
Wenlin Qiu, Xiangcheng Zheng, Tao Guo +1
We propose and analyze the numerical approximation for a viscoelastic Euler-Bernoulli beam model containing a nonlinear strong damping coefficient. The finite difference method is…
Analysis of evolution equation with variable-exponent memory modeling multiscale viscoelasticity
Yiqun Li, Xiangcheng Zheng
We investigate the well-posedness and solution regularity of an evolution equation with non-positive type variable-exponent memory, which describes multiscale viscoelasticity in ma…