Rational spectral methods for PDEs involving fractional Laplacian in unbounded domains

• المؤلفون الرئيسيون: Tang, Tao, Wang, Li-Lian, Yuan, Huifang, Zhou, Tao
• مؤلفون آخرون: School of Physical and Mathematical Sciences
• التنسيق: مقال
• اللغة: English
• منشور في: 2020
• الموضوعات: Science::Mathematics; Fractional Laplacian; Gegenbauer Polynomials
• الوصول للمادة أونلاين: https://hdl.handle.net/10356/145020

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...