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

Alkan S., Seçer A.

OPEN PHYSICS, vol.13, pp.389-394, 2015 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 13
  • 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
  • Yıldız Technical 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.