On the Numerical Solution of Differential-Algebraic Equations with Hessenberg Index-3

Numerical solution of differential-algebraic equations with Hessenberg index-3 is considered by variational iteration method. We applied this method to two examples, and solutions have been compared with those obtained by exact solutions.

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Main Authors: Melike Karta, Ercan Çelik
Format: Article
Language:English
Published: Wiley 2012-01-01
Series:Discrete Dynamics in Nature and Society
Online Access:http://dx.doi.org/10.1155/2012/147240
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author Melike Karta
Ercan Çelik
author_facet Melike Karta
Ercan Çelik
author_sort Melike Karta
collection DOAJ
description Numerical solution of differential-algebraic equations with Hessenberg index-3 is considered by variational iteration method. We applied this method to two examples, and solutions have been compared with those obtained by exact solutions.
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institution Kabale University
issn 1026-0226
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language English
publishDate 2012-01-01
publisher Wiley
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series Discrete Dynamics in Nature and Society
spelling doaj-art-c89d830e91d148c1a1bf1c8fb5c710e42025-02-03T01:32:32ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X2012-01-01201210.1155/2012/147240147240On the Numerical Solution of Differential-Algebraic Equations with Hessenberg Index-3Melike Karta0Ercan Çelik1Department of Mathematics, Faculty of Art and Science, AğrıIbrahim Ceçen University, 04100 Agrı, TurkeyDepartment of Mathematics, Atatürk University Faculty of Science, 25240 Erzurum, TurkeyNumerical solution of differential-algebraic equations with Hessenberg index-3 is considered by variational iteration method. We applied this method to two examples, and solutions have been compared with those obtained by exact solutions.http://dx.doi.org/10.1155/2012/147240
spellingShingle Melike Karta
Ercan Çelik
On the Numerical Solution of Differential-Algebraic Equations with Hessenberg Index-3
Discrete Dynamics in Nature and Society
title On the Numerical Solution of Differential-Algebraic Equations with Hessenberg Index-3
title_full On the Numerical Solution of Differential-Algebraic Equations with Hessenberg Index-3
title_fullStr On the Numerical Solution of Differential-Algebraic Equations with Hessenberg Index-3
title_full_unstemmed On the Numerical Solution of Differential-Algebraic Equations with Hessenberg Index-3
title_short On the Numerical Solution of Differential-Algebraic Equations with Hessenberg Index-3
title_sort on the numerical solution of differential algebraic equations with hessenberg index 3
url http://dx.doi.org/10.1155/2012/147240
work_keys_str_mv AT melikekarta onthenumericalsolutionofdifferentialalgebraicequationswithhessenbergindex3
AT ercancelik onthenumericalsolutionofdifferentialalgebraicequationswithhessenbergindex3