Solving first order nonlinear fuzzy differential equations using Optimal Homotopy Asymptotic Method

In this paper, we discuss the approximate solution of first order nonlinear fuzzy initial value problems (FIVP) by formulate and analyze the use of the Optimal Homotopy Asymptotic Method (OHAM).OHAM allows for the solution of the fuzzy differential equation to be calculated in the form of an infinit...

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Main Authors:	Jameel, A.F., Saaban, Azizan, Altaie, S.A., Anakira, N.R., Alomari, A.K., Ahmad, N.
Format:	Article
Published:	Academic Publications, Ltd. 2018
Subjects:	QA75 Electronic computers. Computer science
Online Access:	http://repo.uum.edu.my/24430/ https://ijpam.eu/contents/2018-118-1/index.html
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Institution:	Universiti Utara Malaysia

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spelling	my.uum.repo.244302018-09-12T03:30:56Z http://repo.uum.edu.my/24430/ Solving first order nonlinear fuzzy differential equations using Optimal Homotopy Asymptotic Method Jameel, A.F. Saaban, Azizan Altaie, S.A. Anakira, N.R. Alomari, A.K. Ahmad, N. QA75 Electronic computers. Computer science In this paper, we discuss the approximate solution of first order nonlinear fuzzy initial value problems (FIVP) by formulate and analyze the use of the Optimal Homotopy Asymptotic Method (OHAM).OHAM allows for the solution of the fuzzy differential equation to be calculated in the form of an infinite series in which the components can be easily computed.This method provides us with a convenient way to control the convergence of approximation series.Numerical examples using the well-known nonlinear FIVP are presented to show the capability of the this method in this regard and the results are satisfied the convex triangular fuzzy number. Academic Publications, Ltd. 2018 Article PeerReviewed Jameel, A.F. and Saaban, Azizan and Altaie, S.A. and Anakira, N.R. and Alomari, A.K. and Ahmad, N. (2018) Solving first order nonlinear fuzzy differential equations using Optimal Homotopy Asymptotic Method. International Journal of Pure and Applied Mathematics, 118 (1). pp. 49-64. ISSN 1311-8080 https://ijpam.eu/contents/2018-118-1/index.html
institution	Universiti Utara Malaysia
building	UUM Library
collection	Institutional Repository
continent	Asia
country	Malaysia
content_provider	Universiti Utara Malaysia
content_source	UUM Institutionali Repository
url_provider	http://repo.uum.edu.my/
topic	QA75 Electronic computers. Computer science
spellingShingle	QA75 Electronic computers. Computer science Jameel, A.F. Saaban, Azizan Altaie, S.A. Anakira, N.R. Alomari, A.K. Ahmad, N. Solving first order nonlinear fuzzy differential equations using Optimal Homotopy Asymptotic Method
description	In this paper, we discuss the approximate solution of first order nonlinear fuzzy initial value problems (FIVP) by formulate and analyze the use of the Optimal Homotopy Asymptotic Method (OHAM).OHAM allows for the solution of the fuzzy differential equation to be calculated in the form of an infinite series in which the components can be easily computed.This method provides us with a convenient way to control the convergence of approximation series.Numerical examples using the well-known nonlinear FIVP are presented to show the capability of the this method in this regard and the results are satisfied the convex triangular fuzzy number.
format	Article
author	Jameel, A.F. Saaban, Azizan Altaie, S.A. Anakira, N.R. Alomari, A.K. Ahmad, N.
author_facet	Jameel, A.F. Saaban, Azizan Altaie, S.A. Anakira, N.R. Alomari, A.K. Ahmad, N.
author_sort	Jameel, A.F.
title	Solving first order nonlinear fuzzy differential equations using Optimal Homotopy Asymptotic Method
title_short	Solving first order nonlinear fuzzy differential equations using Optimal Homotopy Asymptotic Method
title_full	Solving first order nonlinear fuzzy differential equations using Optimal Homotopy Asymptotic Method
title_fullStr	Solving first order nonlinear fuzzy differential equations using Optimal Homotopy Asymptotic Method
title_full_unstemmed	Solving first order nonlinear fuzzy differential equations using Optimal Homotopy Asymptotic Method
title_sort	solving first order nonlinear fuzzy differential equations using optimal homotopy asymptotic method
publisher	Academic Publications, Ltd.
publishDate	2018
url	http://repo.uum.edu.my/24430/ https://ijpam.eu/contents/2018-118-1/index.html
_version_	1644284052903034880

Solving first order nonlinear fuzzy differential equations using Optimal Homotopy Asymptotic Method

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