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.

ISSN

0218-348X

Publisher

World Scientific Publishing Co. Pte Ltd

Volume

28

First Page

2040051

Disciplines

Life Sciences

Keywords

Bi-Framelet, Fractional Differential Equations, Mixed Oblique Extension Principle, Quasi-Affine System

Scopus ID

85089546153

Creative Commons License

Creative Commons Attribution 4.0 License
This work is licensed under a Creative Commons Attribution 4.0 License.

Indexed in Scopus

yes

Open Access

yes

Open Access Type

Hybrid: This publication is openly available in a subscription-based journal/series

Included in

Life Sciences Commons

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