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math.AP2025
A seamless local-nonlocal coupling diffusion model with vanishing nonlocality convergence
Yanzun Meng, Zuoqiang Shi
Based on the development in dealing with nonlocal boundary conditions, we propose a seamless local-nonlocal coupling diffusion model in this paper. In our model, a finite constant…
math.AP2024
Maximum principle preserving nonlocal diffusion model with Dirichlet boundary condition
Yanzun Meng, Zuoqiang Shi
In this paper, we propose nonlocal diffusion models with Dirichlet boundary. These nonlocal diffusion models preserve the maximum principle and also have corresponding variational…