Title

APPLICATIONS of BI-FRAMELET SYSTEMS for SOLVING FRACTIONAL ORDER DIFFERENTIAL EQUATIONS

Source of Publication

Fractals

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.

Document Type

Article

Publication Date

1-1-2020

DOI

10.1142/S0218348X20400514

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