Application of a Legendre collocation method to the space-time variable fractional-order advection-dispersion equation
Date
2019
Authors
Journal Title
Journal ISSN
Volume Title
Type
Article
Publisher
TAYLOR & FRANCIS LTD
Series Info
JOURNAL OF TAIBAH UNIVERSITY FOR SCIENCE;13 / 324-330
Doi
Scientific Journal Rankings
Abstract
In this paper, an efficient spectral collocation method is presented for solving the space-time variable-order fractional advection-dispersion equations (ST-VO-FADE). The proposed method is based on the Legendre collocation spectral procedure together with the Legendre operational matrices for fractional derivatives, described in the sense of Riemann-Liouville and Caputo. The main characteristic behind this approach is to reduce such problems to those of solving systems of algebraic equations in the unknown expansion coefficients of the sought-for spectral approximations, which greatly simplifies the solution process. The validity of the method is demonstrated by solving two numerical examples. Finally, comparisons between the algorithm derived in this paper and the existing algorithms are given, which show that our numerical schemes exhibit better performances than the existing ones.
Description
Accession Number: WOS:000458290200001
Keywords
OPERATORS, STABILITY;, ALGORITHM
Citation
Cited References in Web of Science Core Collection: 50