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

SELVİTOPİ H., YAZICI M.

MATHEMATICAL METHODS IN THE APPLIED SCIENCES, cilt.42, sa.16, ss.5446-5454, 2019 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 42 Sayı: 16
  • Basım Tarihi: 2019
  • Doi Numarası: 10.1002/mma.5415
  • Dergi Adı: MATHEMATICAL METHODS IN THE APPLIED SCIENCES
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.5446-5454
  • Anahtar Kelimeler: de Sitter spacetime, finite difference method, finite element method, Klein-Gordon equation, GLOBAL CAUCHY-PROBLEM, SCALAR FIELD, EXISTENCE
  • Karadeniz Teknik Üniversitesi Adresli: Hayır

Özet

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.