High-order algorithms for Riesz derivative and their applications. I.
type: Item
instance of: scholarly article
title: High-order algorithms for Riesz derivative and their applications. I.
zbMATH Open document ID: 1434.65113
DOI: 10.1155/2014/653797
author: Changpin Li
author: Hengfei Ding
author: Yangquan Chen
published in: Abstract and Applied Analysis
publication date: 2019-02-14T00:00:00Z
review text: Summary: We firstly develop the high-order numerical algorithms for the left and right Riemann-Liouville derivatives. Using these derived schemes, we can get high-order algorithms for the Riesz fractional derivative. Based on the approximate algorithm, we construct the numerical scheme for the space Riesz fractional diffusion equation, where a fourth-order scheme is proposed for the spacial Riesz derivative, and where a compact difference scheme is applied to approximating the first-order time derivative. It is shown that the difference scheme is unconditionally stable and convergent. Finally, numerical examples are provided which are in line with the theoretical analysis.
Mathematics Subject Classification ID: 65M06
Mathematics Subject Classification ID: 35R11
Mathematics Subject Classification ID: 65M12
zbMATH DE Number: 7022832
Wikidata QID: Q59040385
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2014/653797
OpenAlex ID: W2013129097
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description: scientific article; zbMATH DE number 7022832