A numerical treatment based on Haar wavelets for coupled KdV equation

A numerical treatment based on Haar wavelets for coupled KdV equation

In this paper, numerical solutions of one dimensional coupled KdV equation has been investigated by Haar Wavelet method. Time derivatives given in this equation are discretized by finite differences and nonlinear terms appearing in the equations are linearized by some linearization techniques and sp...

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Bibliographic Details
Main Authors: Ömer Oruç, Fatih Bulut, Alaattin Esen
Format: Article
Language:English
Published: Balikesir University 2017-07-01
Series:An International Journal of Optimization and Control: Theories & Applications
Subjects:
coupled kdv equation, Haar wavelet, numerical solution
Online Access:http://ijocta.balikesir.edu.tr/index.php/files/article/view/396
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spelling doaj-73544a9612c945768e348bdd8e9162fa2020-11-24T23:58:09ZengBalikesir UniversityAn International Journal of Optimization and Control: Theories & Applications 2146-09572146-57032017-07-017219520410.11121/ijocta.01.2017.00396113A numerical treatment based on Haar wavelets for coupled KdV equationÖmer OruçFatih BulutAlaattin EsenIn this paper, numerical solutions of one dimensional coupled KdV equation has been investigated by Haar Wavelet method. Time derivatives given in this equation are discretized by finite differences and nonlinear terms appearing in the equations are linearized by some linearization techniques and space derivatives are discretized by Haar wavelets. For examining the performance of the proposed method, single soliton solution and conserved quantities of some test problems are used. Also, error analysis of numerical scheme is investigated and numerical results are compared with some results already existing in the literature.http://ijocta.balikesir.edu.tr/index.php/files/article/view/396coupled kdv equation, Haar wavelet, numerical solution
collection DOAJ
language English
format Article
sources DOAJ
author Ömer Oruç
Fatih Bulut
Alaattin Esen
spellingShingle Ömer Oruç
Fatih Bulut
Alaattin Esen
A numerical treatment based on Haar wavelets for coupled KdV equation
An International Journal of Optimization and Control: Theories & Applications
coupled kdv equation, Haar wavelet, numerical solution
author_facet Ömer Oruç
Fatih Bulut
Alaattin Esen
author_sort Ömer Oruç
title A numerical treatment based on Haar wavelets for coupled KdV equation
title_short A numerical treatment based on Haar wavelets for coupled KdV equation
title_full A numerical treatment based on Haar wavelets for coupled KdV equation
title_fullStr A numerical treatment based on Haar wavelets for coupled KdV equation
title_full_unstemmed A numerical treatment based on Haar wavelets for coupled KdV equation
title_sort numerical treatment based on haar wavelets for coupled kdv equation
publisher Balikesir University
series An International Journal of Optimization and Control: Theories & Applications
issn 2146-0957
2146-5703
publishDate 2017-07-01
description In this paper, numerical solutions of one dimensional coupled KdV equation has been investigated by Haar Wavelet method. Time derivatives given in this equation are discretized by finite differences and nonlinear terms appearing in the equations are linearized by some linearization techniques and space derivatives are discretized by Haar wavelets. For examining the performance of the proposed method, single soliton solution and conserved quantities of some test problems are used. Also, error analysis of numerical scheme is investigated and numerical results are compared with some results already existing in the literature.
topic coupled kdv equation, Haar wavelet, numerical solution
url http://ijocta.balikesir.edu.tr/index.php/files/article/view/396
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AT alaattinesen anumericaltreatmentbasedonhaarwaveletsforcoupledkdvequation
AT omeroruc numericaltreatmentbasedonhaarwaveletsforcoupledkdvequation
AT fatihbulut numericaltreatmentbasedonhaarwaveletsforcoupledkdvequation
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