Fast fourier-like mapped Chebyshev spectral-Galerkin methods for PDEs with integral fractional Laplacian in unbounded domains

• Main Authors: Sheng, Changtao, Shen, Jie, Tang, Tao, Wang, Li-Lian, Yuan, Huifang
• Other Authors: School of Physical and Mathematical Sciences
• Format: Article
• Language: English
• Published: 2021
• Subjects: Science::Mathematics; Integral Fractional Laplacian; Dunford-Taylor Formula
• Online Access: https://hdl.handle.net/10356/146051
• Institution: Nanyang Technological University

In this paper, we propose a fast spectral-Galerkin method for solving PDEs involving an integral fractional Laplacian in Rd, which is built upon two essential components: (i) the Dunford- Taylor formulation of the fractional Laplacian; and (ii) Fourier-like biorthogonal mapped Chebyshev functions (M...