Discrete spline methods for solving two point fractional Bagley–Torvik equation

W.K. Zahra and M. Van Daele

Applied Mathematics and Computation, 2017, vol. 296, issue C, 42-56

Abstract: A new discrete spline method is developed to solve the two point fractional Bagley–Torvik equation.The method is based on discrete spline function and a nonstandard Grünwald–Letnikov difference (NSGD) and the weighted and shifted Grünwald–Letnikov difference (WSGD) operators to approximate the fractional derivative. Bounds for Grünwald–Letnikov weights are considered. Convergence analysis is discussed and a class of second order and third order methods are obtained. Illustrative examples are presented to validate the practical usefulness of the methods.

Keywords: Discrete spline; Two point fractional Bagley–Torvik equation; Caputo fractional derivative; Weighted and shifted Grünwald–Letnikov; Error bound (search for similar items in EconPapers)
Date: 2017
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Citations: View citations in EconPapers (4)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:296:y:2017:i:c:p:42-56

DOI: 10.1016/j.amc.2016.09.016

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