Space-time spectral method for the Cattaneo equation with time fractional derivative

Hui Li, Wei Jiang and Wenya Li

Applied Mathematics and Computation, 2019, vol. 349, issue C, 325-336

Abstract: This paper introduces a high-order accurate numerical method for solving the Cattaneo equation with time fractional derivative. It is based on the Galerkin–Legendre spectral method in space and the Chebyshev collocation method in time. Arbitrarily high-order accurate can be made in both space and time. Optimal priori error bound of the semi-discrete method and the stability and convergence of the full-discrete method are strictly given. Extensive experimental results confirm the theoretical claims of this method in both space and time.

Keywords: Space-time spectral method; Cattaneo equation; Galerkin–Legendre spectral method; Spectral collocation scheme; Error estimates (search for similar items in EconPapers)
Date: 2019
References: View references in EconPapers View complete reference list from CitEc
Citations:

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/S0096300318311111
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:349:y:2019:i:c:p:325-336

DOI: 10.1016/j.amc.2018.12.050

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 ().