Solving nonlinear boundary value problems by the Galerkin method with sinc functions

Alkan S., Seçer A.

OPEN PHYSICS, cilt.13, ss.389-394, 2015 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 13
  • Basım Tarihi: 2015
  • Doi Numarası: 10.1515/phys-2015-0050
  • Dergi Adı: OPEN PHYSICS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.389-394
  • Yıldız Teknik Üniversitesi Adresli: Evet

Özet

In this paper, the sinc-Galerkin method is used for numerically solving a class of nonlinear differential equations with boundary conditions. The importance of this study is that sinc approximation of the nonlinear term is stated as a new theorem. The method introduced here is tested on some nonlinear problems and is shown to be a very efficient and powerful tool for obtaining approximate solutions of nonlinear ordinary differential equations.