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
• 其他作者: School of Physical and Mathematical Sciences
• 格式: Article
• 語言: English
• 出版: 2021
• 主題: Science::Mathematics; Integral Fractional Laplacian; Dunford-Taylor Formula
• 在線閱讀: https://hdl.handle.net/10356/146051
• 機構: 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...