文章基本信息

标题：A conservative difference scheme for the Riesz space-fractional sine-Gordon equation
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作者：Zhiyong Xing ; Liping Wen
期刊名称：Advances in Difference Equations
印刷版ISSN：1687-1839
电子版ISSN：1687-1847
出版年度：2018
卷号：2018
期号：1
页码：238
DOI：10.1186/s13662-018-1689-5
语种：English
出版社：Hindawi Publishing Corporation
摘要：In this paper, we study a conservative difference scheme for the sine-Gordon equation (SGE) with the Riesz space fractional derivative. We rigorously establish the conservation property and solvability of the difference scheme. We discuss the stability and convergence of the difference scheme in the L ∞ $L_{\infty}$ norm. To reduce the computational complexity, we introduce a revised Newton method for implementing the difference scheme. Finally, we provide several numerical experiments to support the theoretical results.