AccScience Publishing / IJOCTA / Volume 8 / Issue 2 / DOI: 10.11121/ijocta.01.2018.00608
RESEARCH ARTICLE

Sinc-Galerkin method for solving hyperbolic partial differential equations

Aydin Secer1*
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1 Department of Mathematical Engineering, Yildiz Technical University, Istanbul, Turkey
IJOCTA 2018, 8(2), 250–258; https://doi.org/10.11121/ijocta.01.2018.00608
Submitted: 30 April 2018 | Accepted: 14 June 2018 | Published: 24 July 2018
© 2018 by the Author(s). This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution -Noncommercial 4.0 International License (CC-by the license) ( https://creativecommons.org/licenses/by-nc/4.0/ )
Abstract
In this work, we consider the hyperbolic equations to determine the approximate solutions via Sinc-Galerkin Method (SGM). Without any numerical integration, the partial differential equation transformed to an algebraic equation system. For the numerical calculations, Maple is used. Several numerical examples are investigated and the results determined from the method are compared with the exact solutions. The results are illustrated both in the table and graphically.
Keywords
Sinc basis function
Linear matrix system
LU-decomposition method
Conflict of interest
The authors declare they have no competing interests.
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