An analysis of implicit conservative difference solver for fractional Klein–Gordon–Zakharov system

Jianqiang Xie and Zhiyue Zhang

Applied Mathematics and Computation, 2019, vol. 348, issue C, 153-166

Abstract: In this paper, we propose an efficient linearly implicit conservative difference solver for the fractional Klein–Gordon–Zakharov system. First of all, we present a detailed derivation of the energy conservation property of the system in the discrete setting. Then, by using the mathematical induction, it is proved that the proposed scheme is uniquely solvable. Subsequently, by virtue of the discrete energy method and a ‘cut-off’ function technique, it is shown that the proposed solver possesses the convergence rates of O(Δt2+h2) in the sense of L∞- and L2- norms, respectively, and is unconditionally stable. Finally, numerical results testify the effectiveness of the proposed scheme and exhibit the correctness of theoretical results.

Keywords: Fractional Klein–Gordon–Zakharov system; Finite difference methods; Solvability; Convergence; Stability (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/S009630031830897X
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:348:y:2019:i:c:p:153-166

DOI: 10.1016/j.amc.2018.10.031

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 ().