Document Type
Article
Source of Publication
Fractals
Publication Date
1-1-2020
Abstract
© 2020 CSIRO Framelets and their attractive features in many disciplines have attracted a great interest in the recent years. This paper intends to show the advantages of using bi-framelet systems in the context of numerical fractional differential equations (FDEs). We present a computational method based on the quasi-affine bi-framelets with high vanishing moments constructed using the generalized (mixed) oblique extension principle. We use this system for solving some types of FDEs by solving a series of important examples of FDEs related to many mathematical applications. The quasi-affine bi-framelet-based methods for numerical FDEs show the advantages of using sparse matrices and its accuracy in numerical analysis.
DOI Link
ISSN
Publisher
World Scientific Publishing Co. Pte Ltd
Volume
28
First Page
2040051
Disciplines
Mathematics
Keywords
Bi-Framelet, Fractional Differential Equations, Mixed Oblique Extension Principle, Quasi-Affine System
Scopus ID
Creative Commons License
This work is licensed under a Creative Commons Attribution 4.0 International License.
Recommended Citation
Mohammad, Mutaz and Cattani, Carlo, "Applications of Bi-framelet Systems for Solving Fractional Order Differential Equations" (2020). All Works. 521.
https://zuscholars.zu.ac.ae/works/521
Indexed in Scopus
yes
Open Access
yes
Open Access Type
Hybrid: This publication is openly available in a subscription-based journal/series