Numerical results for the Klein-Gordon equation in de Sitter spacetime

被引：2
|
作者：
Selvitopi, Harun [1 ]
Yazici, Muhammet [2 ]
机构：
[1] Erzurum Tech Univ, Dept Math, Erzurum, Turkey
[2] Karadeniz Tech Univ, Dept Math, Trabzon, Turkey
来源：
MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 2019年 / 42卷 / 16期
关键词：
de Sitter spacetime; finite difference method; finite element method; Klein-Gordon equation; GLOBAL CAUCHY-PROBLEM; SCALAR FIELD; EXISTENCE;
D O I：
10.1002/mma.5415
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We consider the initial value problem for the Klein-Gordon equation in de Sitter spacetime. We use the central difference scheme on the temporal discretization. We also discretize the spatial variable using the finite element method with implicit and the Crank-Nicolson schemes for the numerical solution of the initial value problem. In order to show the accuracy for the results of the solutions, we also examine the finite difference methods. We observe that the numerical results obtained by using these methods are compatible.
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页码：5446 / 5454
页数：9
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