Application of pert

Application of pert

Perturbation–iteration method is generalized for systems of first order differential equations. Approximate solutions of Lotka–Volterra systems are obtained using the method. Comparisons of our results with each other and with numerical solutions are given. The method is implemented in Mathematica,...

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Main Authors: Yiğit Aksoy, Ünal Göktaş, Mehmet Pakdemirli, İhsan Timuçin Dolapçı
Format: Article
Language:English
Published: Elsevier 2016-06-01
Series:Alexandria Engineering Journal
Subjects:
Perturbation method
Perturbation–iteration method
Symbolic computation
Lotka–Volterra equations
Systems of first order differential equations
Online Access:http://www.sciencedirect.com/science/article/pii/S1110016816000685
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spelling doaj-66d2cdd21dcc400ea281887fbc7cd52f2021-06-02T07:58:24ZengElsevierAlexandria Engineering Journal1110-01682016-06-015521661166610.1016/j.aej.2016.02.015Application of pertYiğit Aksoy0Ünal Göktaş1Mehmet Pakdemirli2İhsan Timuçin Dolapçı3Department of Mechanical Engineering, Celal Bayar University, 45140 Muradiye, Manisa, TurkeyDepartment of Computer Engineering, Turgut Özal University, 06010 Keçiören, Ankara, TurkeyDepartment of Mechanical Engineering, Celal Bayar University, 45140 Muradiye, Manisa, TurkeyDepartment of Mechanical Engineering, Celal Bayar University, 45140 Muradiye, Manisa, TurkeyPerturbation–iteration method is generalized for systems of first order differential equations. Approximate solutions of Lotka–Volterra systems are obtained using the method. Comparisons of our results with each other and with numerical solutions are given. The method is implemented in Mathematica, a major computer algebra system. The package PerturbationIteration.m automatically carries out the tedious calculations of the method.http://www.sciencedirect.com/science/article/pii/S1110016816000685Perturbation methodPerturbation–iteration methodSymbolic computationLotka–Volterra equationsSystems of first order differential equations
collection DOAJ
language English
format Article
sources DOAJ
author Yiğit Aksoy
Ünal Göktaş
Mehmet Pakdemirli
İhsan Timuçin Dolapçı
spellingShingle Yiğit Aksoy
Ünal Göktaş
Mehmet Pakdemirli
İhsan Timuçin Dolapçı
Application of pert
Alexandria Engineering Journal
Perturbation method
Perturbation–iteration method
Symbolic computation
Lotka–Volterra equations
Systems of first order differential equations
author_facet Yiğit Aksoy
Ünal Göktaş
Mehmet Pakdemirli
İhsan Timuçin Dolapçı
author_sort Yiğit Aksoy
title Application of pert
title_short Application of pert
title_full Application of pert
title_fullStr Application of pert
title_full_unstemmed Application of pert
title_sort application of pert
publisher Elsevier
series Alexandria Engineering Journal
issn 1110-0168
publishDate 2016-06-01
description Perturbation–iteration method is generalized for systems of first order differential equations. Approximate solutions of Lotka–Volterra systems are obtained using the method. Comparisons of our results with each other and with numerical solutions are given. The method is implemented in Mathematica, a major computer algebra system. The package PerturbationIteration.m automatically carries out the tedious calculations of the method.
topic Perturbation method
Perturbation–iteration method
Symbolic computation
Lotka–Volterra equations
Systems of first order differential equations
url http://www.sciencedirect.com/science/article/pii/S1110016816000685
work_keys_str_mv AT yigitaksoy applicationofpert
AT unalgoktas applicationofpert
AT mehmetpakdemirli applicationofpert
AT ihsantimucindolapcı applicationofpert
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