Solving nonlinear boundary value problems by the Galerkin method with sinc functions
Open Physics, cilt.13, sa.1, ss.389-394, 2015 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 13 Sayı: 1
- 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
- Anahtar Kelimeler: boundary value problems, nonlinearity, sinc-Galerkin method
- Hatay Mustafa Kemal 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.