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

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

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...

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Bibliographic Details
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
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Institution: Nanyang Technological University
Language: English

Internet

https://hdl.handle.net/10356/146051

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