Solving nonlinear boundary value problems by the Galerkin method with sinc functions
Open Physics, vol.13, no.1, pp.389-394, 2015 (SCI-Expanded, Scopus)
- Publication Type: Article / Article
- Volume: 13 Issue: 1
- Publication Date: 2015
- Doi Number: 10.1515/phys-2015-0050
- Journal Name: Open Physics
- Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Page Numbers: pp.389-394
- Keywords: boundary value problems, nonlinearity, sinc-Galerkin method
- Hatay Mustafa Kemal University Affiliated: Yes
Abstract
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.