Space–time fractional Klein-Gordon equation: Symmetry analysis, conservation laws and numerical approximations

Fatemeh Mohammadizadeh, Saeede Rashidi and S. Reza Hejazi

Mathematics and Computers in Simulation (MATCOM), 2021, vol. 188, issue C, 476-497

Abstract: In this paper the symmetry operators of the fractional Klein-Gordon (KG) equation are found. The generalized fractional Noether’s theorem is used in order to find the conservation laws of the considered equation. Finally, the Chebyshev spectral collocation method is extended to space–time-fractional case for giving some numerical results and conservation laws for the equation.

Keywords: Fractional integro-differential equation; Klein-Gordon equation; Lie symmetry; Noether’s theorem; Chebyshev spectral collocation method (search for similar items in EconPapers)
Date: 2021
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (1)

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/S0378475421001336
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:matcom:v:188:y:2021:i:c:p:476-497

DOI: 10.1016/j.matcom.2021.04.015

Access Statistics for this article

Mathematics and Computers in Simulation (MATCOM) is currently edited by Robert Beauwens

More articles in Mathematics and Computers in Simulation (MATCOM) from Elsevier
Bibliographic data for series maintained by Catherine Liu ().