Numerical analysis for the Klein-Gordon equation with mass parameter

被引：0
|
作者：
Badr Saad T Alkahtani
Abdon Atangana
Ilknur Koca
机构：
[1] King Saud University,Department of Mathematics, College of Science
[2] University of the Free State,Institute for Groundwater Studies, Faculty of Natural and Agricultural Sciences
[3] Mehmet Akif Ersoy University,Department of Mathematics, Faculty of Sciences
来源：
Advances in Difference Equations | / 2017卷
关键词：
second approximation of fractional derivative; Klein-Gordon equation; stability analysis;
D O I：
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学科分类号：
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.
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