Rational spectral methods for PDEs involving fractional Laplacian in unbounded domains

Many PDEs involving fractional Laplacian are naturally set in unbounded domains with underlying solutions decaying slowly and subject to certain power law. Their numerical solutions are underexplored. This paper aims at developing accurate spectral methods using rational basis (or modified mapped Ge...

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Bibliographic Details
Main Authors: Tang, Tao, Wang, Li-Lian, Yuan, Huifang, Zhou, Tao
Other Authors: School of Physical and Mathematical Sciences
Format: Journal Article
Language:English
Published: 2020
Subjects:
Online Access:https://hdl.handle.net/10356/145020