Well-conditioned fractional collocation methods using fractional Birkhoff interpolation basis
نویسندگان
چکیده
منابع مشابه
Well-conditioned fractional collocation methods using fractional Birkhoff interpolation basis
The purpose of this paper is twofold. Firstly, we provide explicit and compact formulas for computing both Caputo and (modified) Riemann-Liouville (RL) fractional pseudospectral differentiation matrices (F-PSDMs) of any order at general Jacobi-Gauss-Lobatto (JGL) points. We show that in the Caputo case, it suffices to compute F-PSDM of order μ ∈ (0, 1) to compute that of any order k + μ with in...
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ژورنال
عنوان ژورنال: Journal of Computational Physics
سال: 2016
ISSN: 0021-9991
DOI: 10.1016/j.jcp.2015.10.029