Higher-Order Numerical Solutions of the Fractional Relaxation-Oscillation Equation using Fractional Integration
Numerical Analysis
2016-03-30 v1
Abstract
In the present paper we derive the asymptotic expansion formula for the trapezoidal approximation of the fractional integral. We use the expansion formula to obtain approximations for the fractional integral of order and . The approximations are applied for computing the numerical solutions of the fractional relaxation-oscillation equation.
Keywords
Cite
@article{arxiv.1603.08733,
title = {Higher-Order Numerical Solutions of the Fractional Relaxation-Oscillation Equation using Fractional Integration},
author = {Yuri Dimitrov},
journal= {arXiv preprint arXiv:1603.08733},
year = {2016}
}