On reflecting boundary conditions for space-fractional equations on a finite interval: Proof of the matrix transfer technique

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• 作者：N. Cusimano ; ^a ; ^{nicole.cusimano@outlook.com} ; K. Burrage^b ; ^a ; ^{kevin.burrage@qut.edu.au} ; I. Turner^a ; ^{i.turner@qut.edu.au} ; D. Kay^b ; ^{david.kay@cs.ox.ac.uk}
• 关键词：Fractional Laplacian ; α-stable symmetric Lé ; vy flights ; Bounded domain ; Reflection matrix ; Spectral decomposition ; Spectral method
• 刊名：Applied Mathematical Modelling
• 出版年：2017
• 出版时间：February 2017
• 年：2017
• 卷：42
• 期：Complete
• 页码：554-565
• 全文大小：583 K
• 卷排序：42

文摘

Representation of a nonlocal operator for reflecting boundaries on bounded domains. Analytical expressions for the spectrum of the associated discrete operator. Equivalence of this approach to the matrix transfer technique. Development of exponentially fast convergence spectral techniques. Extension to higher space-dimensional fractional problems.