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Article
Applications of Bi-framelet Systems for Solving Fractional Order Differential Equations
Fractals
Document Type
Article
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
Publisher
World Scientific Publishing Co. Pte Ltd
Disciplines
Keywords
- Bi-Framelet,
- Fractional Differential Equations,
- Mixed Oblique Extension Principle,
- Quasi-Affine System
Scopus ID
Creative Commons License
Creative Commons Attribution 4.0 International
Indexed in Scopus
Yes
Open Access
Yes
Open Access Type
Hybrid: This publication is openly available in a subscription-based journal/series
Citation Information
Mutaz Mohammad and Carlo Cattani. "Applications of Bi-framelet Systems for Solving Fractional Order Differential Equations" Fractals Vol. 28 (2020) p. 2040051 ISSN: <p><a href="https://v2.sherpa.ac.uk/id/publication/issn/0218-348X" target="_blank">0218-348X</a></p> Available at: http://works.bepress.com/mutaz-mohammad/10/