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Journal of Applied Mathematics and Computing

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23.01.2021 | Original Research

Numerical method for a non-local boundary value problem with Caputo fractional order

verfasst von: S. Joe Christin Mary, Ayyadurai Tamilselvan

Erschienen in: Journal of Applied Mathematics and Computing | Ausgabe 1-2/2021

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Abstract

A non-local boundary value problem with Caputo fractional derivative of order \(1<\nu <2\) is considered in this article. A numerical method comprising of an upwind difference scheme which is used to approximate the convection term and an \(L_2\) approximation of Caputo fractional derivative on an uniform mesh is constructed. Error estimate is derived. Numerical results are presented which validate our numerical method.

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Titel: Numerical method for a non-local boundary value problem with Caputo fractional order
verfasst von: S. Joe Christin Mary
Ayyadurai Tamilselvan
Publikationsdatum: 23.01.2021
Verlag: Springer Berlin Heidelberg
Erschienen in: Journal of Applied Mathematics and Computing / Ausgabe 1-2/2021
Print ISSN: 1598-5865
Elektronische ISSN: 1865-2085
DOI: https://doi.org/10.1007/s12190-021-01501-4

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