Preprint Article Version 1 Preserved in Portico This version is not peer-reviewed

Local Polynomial Smoother for Solving Bagley-Torvik Fractional Differential Equations

Version 1 : Received: 30 August 2016 / Approved: 30 August 2016 / Online: 30 August 2016 (12:29:12 CEST)

How to cite: Yan, T.; Luo, S. Local Polynomial Smoother for Solving Bagley-Torvik Fractional Differential Equations. Preprints 2016, 2016080231. https://doi.org/10.20944/preprints201608.0231.v1 Yan, T.; Luo, S. Local Polynomial Smoother for Solving Bagley-Torvik Fractional Differential Equations. Preprints 2016, 2016080231. https://doi.org/10.20944/preprints201608.0231.v1

Abstract

Local polynomial smoother (LPS) is a weighted local least-squares nonparametric method. It provides a local Taylor series fit of the data at any location and can be directly used in a differential equation to provide a numerical scheme. In this article, we introduce this new nonparametric idea based on local polynomial smoother, for acquiring the numerical solution of the Bagley-Torvik fractional-order differential equations. Furthermore, this paper will present a numerical comparison with some methods, such as legendre operational matrix and pseudo-spectral method. The efficiency and accuracy of the LPS method are demonstrated by two numerical examples.

Keywords

numerical solution; Bagley-Torvik fractional differential equations; local polynomial smoother

Subject

Computer Science and Mathematics, Computational Mathematics

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