Numerical solution for fractional variational problems using the Jacobi polynomials
Numerical Analysis
2015-12-08 v1
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.
Cite
@article{arxiv.1512.01686,
title = {Numerical solution for fractional variational problems using the Jacobi polynomials},
author = {Hassan Khosravian-Arab and Ricardo Almeida},
journal= {arXiv preprint arXiv:1512.01686},
year = {2015}
}
Comments
This is a preprint of a paper whose final and definite form will be published in Appl. Math. Model