Journal Article

·2015 OPEN ACCESS

Solving nonlinear boundary value problems by the Galerkinmethod with sinc functions

Sertan Alkan , Aydın Seçer YTU

Open Physics

Abstract

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.

Keywords

Sinc function Galerkin method Nonlinear system Mathematics Boundary value problem Mathematical analysis Ordinary differential equation Applied mathematics Differential equation Physics

Subject Areas

Fractional Differential Equations Solutions ·Modeling and Simulation ·Physical Sciences
Iterative Methods for Nonlinear Equations ·Numerical Analysis ·Physical Sciences
Model Reduction and Neural Networks ·Statistical and Nonlinear Physics ·Physical Sciences

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