文章基本信息

标题：Numerical analysis for the Klein-Gordon equation with mass parameter
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作者：Badr Saad T Alkahtani ; Abdon Atangana ; Ilknur Koca 等
期刊名称：Advances in Difference Equations
印刷版ISSN：1687-1839
电子版ISSN：1687-1847
出版年度：2017
卷号：2017
期号：1
页码：291
DOI：10.1186/s13662-017-1352-6
语种：English
出版社：Hindawi Publishing Corporation
摘要：A numerical analysis of the well-known linear partial differential equation describing the relativistic wave is presented in this work. Three different operators of fractional differentiation with power law, exponential decay law and Mittag-Leffler law are employed to extend the Klein-Gordon equation with mass parameter to the concept of fractional differentiation. The three models are solved numerically. The stability and the convergence of the numerical schemes are investigated in detail.
关键词：second approximation of fractional derivative ; Klein-Gordon equation ; stability analysis