Numerical approximations for the Riesz space fractional advection-dispersion equations via radial basis functions

The radial basis functions collocation method is developed to solve Riesz space fractional advection-dispersion equation (RSFADE). To do this, we first provide the Riemann-Liouville fractional derivatives of the five kinds of RBFs, including the Powers, Gaussian, Multiquadric, Matérn and Thin-plate...

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Bibliographic Details

Published in:	Applied numerical mathematics Vol. 144; pp. 59 - 82
Main Authors:	Saberi Zafarghandi, Fahimeh, Mohammadi, Maryam
Format:	Journal Article
Language:	English
Published:	Elsevier B.V 01.10.2019
Subjects:	Meshless method Radial basis functions Riemann-Liouville fractional derivatives Riesz space fractional advection-dispersion equation Radial basis functions Riesz space fractional advection-dispersion equation Riemann-Liouville fractional derivatives Meshless method
ISSN:	0168-9274, 1873-5460
Online Access:	Get full text
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