Please use this identifier to cite or link to this item:
http://hdl.handle.net/10773/15015
Title: | Numerical solution for fractional variational problems using the Jacobi polynomials |
Author: | Khosravian-Arab, Hassan Almeida, Ricardo |
Keywords: | Jacobi polynomials Calculus of variations Fractional calculus Fractional Leitmann principle |
Issue Date: | 1-Nov-2015 |
Publisher: | Elsevier |
Abstract: | We exhibit a numerical method to solve fractional variational problems, applying a decomposition formula based on Jacobi polynomials. Formulas for the fractional derivative and fractional integral of the Jacobi polynomials are proven. By some examples, we show the convergence of such procedure, comparing the exact solution with numerical approximations. |
Peer review: | yes |
URI: | http://hdl.handle.net/10773/15015 |
DOI: | 10.1016/j.apm.2015.01.060 |
ISSN: | 0307-904X |
Appears in Collections: | CIDMA - Artigos SCG - Artigos |
Files in This Item:
File | Description | Size | Format | |
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1512.01686v1.pdf | Article | 184.16 kB | Adobe PDF | View/Open |
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