Preprint Article Version 1 NOT YET PEER-REVIEWED

Local Polynomial Smoother for Solving Bagley-Torvik Fractional Differential Equations

  1. School of Mathematics and Statistics, Xi’an Jiaotong University, Xi’an 710049, China
  2. School of Science, Xi’an Polytechnic University, Xi’an 710048, China
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 (doi: 10.20944/preprints201608.0231.v1). Yan, T.; Luo, S. Local Polynomial Smoother for Solving Bagley-Torvik Fractional Differential Equations. Preprints 2016, 2016080231 (doi: 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.

Subject Areas

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

Readers' Comments and Ratings (0)

Discuss and rate this article
Views 136
Downloads 158
Comments 0
Metrics 0
Discuss and rate this article

×
Alerts
Notify me about updates to this article or when a peer-reviewed version is published.