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Open Physics

formerly Central European Journal of Physics

Editor-in-Chief: Seidel, Sally

Managing Editor: Lesna-Szreter, Paulina

1 Issue per year


IMPACT FACTOR 2017: 0.755
5-year IMPACT FACTOR: 0.820

CiteScore 2017: 0.83

SCImago Journal Rank (SJR) 2017: 0.241
Source Normalized Impact per Paper (SNIP) 2017: 0.537

Open Access
Online
ISSN
2391-5471
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Volume 13, Issue 1

Issues

Volume 13 (2015)

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

Sertan Alkan / Aydin Secer
Published Online: 2015-12-31 | DOI: https://doi.org/10.1515/phys-2015-0050

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: nonlinearity; sinc-Galerkin method; boundary value problems

References

About the article

Received: 2015-11-14

Accepted: 2015-11-26

Published Online: 2015-12-31


Citation Information: Open Physics, Volume 13, Issue 1, ISSN (Online) 2391-5471, DOI: https://doi.org/10.1515/phys-2015-0050.

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©2015 S. Alkan and A. Secer. This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License. BY-NC-ND 3.0

Citing Articles

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[1]
Veysel Fuat Hatipoglu, Sertan Alkan, and Aydin Secer
Advances in Difference Equations, 2017, Volume 2017, Number 1

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