Efficient hermite spectral-galerkin methods for nonlocal diffusion equations in unbounded domains

• Main Authors: Li, Huiyuan, Liu, Ruiqing, Wang, Li-Lian
• Other Authors: School of Physical and Mathematical Sciences
• Format: Article
• Language: English
• Published: 2023
• Subjects: Science::Mathematics; Nonlocal diffusion Equation; Spectral-Galerkin
• Online Access: https://hdl.handle.net/10356/168766
• Institution: Nanyang Technological University

In this paper, we develop an efficient Hermite spectral-Galerkin method for nonlocal diffusion equations in unbounded domains. We show that the use of the Hermite basis can de-convolute the troublesome convolutional operations involved in the nonlocal Laplacian. As a result, the “stiffness” matrix c...