A conservative compact difference scheme for the coupled Klein–Gordon–Schrödinger equation. Issue 5 (23rd March 2013)

• Record Type: Journal Article
• Authors: Sun, Qihang; Zhang, Luming; Wang, Shanshan; Hu, Xiuling
• Is Part Of: Numerical methods for partial differential equations. Volume 29:Issue 5(2013:Sep.)
• Page Start: 1657
• Page End: 1674
• Publication Date: 2013-03-23
• Subjects: Differential equations, Partial -- Numerical solutions -- Periodicals; 515.353
• DOI: 10.1002/num.21770
• Languages: English
• ISSNs: 0749-159X

Abstract

<abstract abstract-type="main" xml:lang="en"> <title>Abstract</title> <p>In this article, a conservative compact difference scheme is presented for the periodic initial‐value problem of Klein–Gordon–Schrödinger equation. On the basis of some inequalities about norms and the priori estimates, convergence of the difference solution is proved with order <italic>O</italic>(<italic>h</italic>⁴ +τ ²) in maximum norm. Numerical experiments demonstrate the accuracy and efficiency of the compact scheme. © 2013 Wiley Periodicals, Inc. Numer Methods Partial Differential Eq, 2013</p> </abstract>