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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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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
score 13.160551

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