48 citations · 105 across the 9 of their papers we have counts for
9 papers · 1 filter
Efficient numerical methods for the Navier-Stokes-Nernst-Planck-Poisson equations
Xiaolan Zhou, Chuanju Xu
We propose in this paper efficient first/second-order time-stepping schemes for the evolutional Navier-Stokes-Nernst-Planck-Poisson equations. The proposed schemes are constructed…
An efficient numerical approach for stochastic evolution PDEs driven by random diffusion coefficients and multiplicative noise
X. Qi, M. Azaiez, C. Huang +1
In this paper, we investigate the stochastic evolution equations (SEEs) driven by -Whittle-Matrn (W-M) random diffusion coefficient field and -Wiener m…
A novel spectral method for the subdiffusion equation
Chuanju Xu, Wei Zeng
In this paper, we design and analyze a novel spectral method for the subdiffusion equation. As it has been known, the solutions of this equation are usually singular near the initi…
New efficient time-stepping schemes for the anisotropic phase-field dendritic crystal growth model
Minghui Li, Mejdi Azaiez, Chuanju Xu
In this paper, we propose and analyze a first-order and a second-order time-stepping schemes for the anisotropic phase-field dendritic crystal growth model. The proposed schemes ar…
Identifying source term in the subdiffusion equation with L^2-TV regularization
Bin Fan, Chuanju Xu
In this paper, we consider the inverse source problem for the time-fractional diffusion equation, which has been known to be an ill-posed problem. To deal with the ill-posedness of…
Highly efficient and energy dissipative schemes for the time fractional Allen-Cahn equation
Dianming Hou, Chuanju Xu
In this paper, we propose and analyze a time-stepping method for the time fractional Allen-Cahn equation. The key property of the proposed method is its unconditional stability for…
Highly efficient schemes for time fractional Allen-Cahn equation using extended SAV approach
Dianming Hou, Hongyi Zhu, Chuanju Xu
In this paper, we propose and analyze high order efficient schemes for the time fractional Allen-Cahn equation. The proposed schemes are based on the L1 discretization for the time…
A Müntz-Collocation spectral method for weakly singular volterra integral equations
Dianming Hou, Yumin Lin, Mejdi Azaiez +1
In this paper we propose and analyze a fractional Jacobi-collocation spectral method for the second kind Volterra integral equations (VIEs) with weakly singular kernel $(x-s)^{-μ},…
Parallel in time algorithm with spectral-subdomain enhancement for Volterra integral equations
Xianjuan Li, Tao Tang, Chuanju Xu
This paper proposes a parallel in time (called also time parareal) method to solve Volterra integral equations of the second kind. The parallel in time approach follows the same sp…