MATHEMATICAL METHODS IN THE APPLIED SCIENCES, vol.42, no.16, pp.5446-5454, 2019 (SCI-Expanded)
Article / Article
MATHEMATICAL METHODS IN THE APPLIED SCIENCES
Science Citation Index Expanded (SCI-EXPANDED), Scopus
de Sitter spacetime, finite difference method, finite element method, Klein-Gordon equation, GLOBAL CAUCHY-PROBLEM, SCALAR FIELD, EXISTENCE
Karadeniz Technical University Affiliated:
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.