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

Abstract

Abstract:In this paper, the sinc-Galerkin method is used for numerically solving a class of nonlinear di erential 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 e cient and powerful tool for obtaining approximate solutions of nonlinear ordinary di erential equations.

Sinc-Galerkin method for solving hyperbolic partial differential equations

“…The work in [26] Gamel, Behiry and Hashish dealed with the SGM for solving nonlinear ODEs with various boundary conditions. In [27], sinc-Galerkin method is also applied to a class of the secondorder nonlinear ODEs. In the work [28], Zamani focused on some differential operators in one dimension and a Helmholtz eigenvalue problem in two dimensions.…”