Approximate Solutions to the Nonlinear Klein-Gordon Equation in de Sitter Spacetime

YAZICI M., Sengul S.

OPEN PHYSICS, cilt.14, sa.1, ss.314-320, 2016 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 14 Sayı: 1
  • Basım Tarihi: 2016
  • Doi Numarası: 10.1515/phys-2016-0037
  • Dergi Adı: OPEN PHYSICS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.314-320
  • Anahtar Kelimeler: de Sitter spacetime, Klein-Gordon equation, differential transform method, variational iteration method, Adomian's polynomials, VARIATIONAL ITERATION METHOD, GLOBAL CAUCHY-PROBLEM, DIFFERENTIAL TRANSFORM, EXISTENCE
  • Karadeniz Teknik Üniversitesi Adresli: Evet

Özet

We consider initial value problems for the nonlinear Klein-Gordon equation in de Sitter spacetime. We use the differential transform method for the solution of the initial value problem. In order to show the accuracy of results for the solutions, we use the variational iteration method with Adomian's polynomials for the nonlinearity. We show that the methods are effective and useful.