Source of Publication
© 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.
World Scientific Publishing Co. Pte Ltd
Bi-Framelet, Fractional Differential Equations, Mixed Oblique Extension Principle, Quasi-Affine System
Creative Commons License
This work is licensed under a Creative Commons Attribution 4.0 License.
Mohammad, Mutaz and Cattani, Carlo, "Applications of Bi-framelet Systems for Solving Fractional Order Differential Equations" (2020). All Works. 521.
Indexed in Scopus
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Hybrid: This publication is openly available in a subscription-based journal/series