1 citations · 1 across the 3 of their papers we have counts for
3 papers
math.NA2025
Nonlocal modeling of spatial fractional diffusion with truncated interaction domains and truncated kernel function singularity
Shiping Zhou, Yanzhi Zhang, Max Gunzburger
Parabolic partial differential equations (PDEs) are in ubiquitous, very effective use to model diffusion processes. However, there are many applications (e.g., such as in hydrology…
math.NA2024
Variable-order fractional Laplacian and its accurate and efficient computations with meshfree methods
Yixuan Wu, Yanzhi Zhang
The variable-order fractional Laplacian plays an important role in the study of heterogeneous systems. In this paper, we propose the first numerical methods for the variable-order…
math.NA2023★ 1 cited
Gaussian radial basis functions collocation for fractional PDEs: methodology and error analysis
Xiaochuan Tian, Yixuan Wu, Yanzhi Zhang
The paper introduces a new meshfree pseudospectral method based on Gaussian radial basis functions (RBFs) collocation to solve fractional Poisson equations. Hypergeometric function…