Fractional pseudospectral integration/differentiation matrix and fractional differential equations

Saeid Gholami, Esmail Babolian and Mohammad Javidi

Applied Mathematics and Computation, 2019, vol. 343, issue C, 314-327

Abstract: In this paper, we present a new pseudospectral integration matrix which can be used to compute n−fold integrals of function f for any n∈R+. Also, it can be used to calculate the derivatives of f for any non-integer order α < 0. We use the Chebyshev interpolating polynomial for f at the Gauss–Lobatto points in [−1,1]. Less computational complexity and programming, much higher rate in running, calculating the integral/derivative of fractional order and its extraordinary accuracy, are advantages of this method in comparison with other known methods. We apply two approaches by using this matrix to solve some fractional differential equations with high accuracy. Some numerical examples are presented.

Keywords: Chebyshev polynomials; Fractional pseudospectral integration matrix; Fractional differential equation; Gauss–Lobatto points (search for similar items in EconPapers)
Date: 2019
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (2)

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/S0096300318307586
Full text for ScienceDirect subscribers only

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:343:y:2019:i:c:p:314-327

DOI: 10.1016/j.amc.2018.08.044

Access Statistics for this article

Applied Mathematics and Computation is currently edited by Theodore Simos

More articles in Applied Mathematics and Computation from Elsevier
Bibliographic data for series maintained by Catherine Liu ().