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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| Format: | Article |
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Academic Publications, Ltd.
2018
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| _version_ | 1825805106472288256 |
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| 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. |
| collection | UUM |
| 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. |
| first_indexed | 2024-07-04T06:26:26Z |
| format | Article |
| id | uum-24430 |
| institution | Universiti Utara Malaysia |
| last_indexed | 2024-07-04T06:26:26Z |
| publishDate | 2018 |
| publisher | Academic Publications, Ltd. |
| record_format | eprints |
| spelling | uum-244302018-09-12T03:30:56Z https://repo.uum.edu.my/id/eprint/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 |
| 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 |
| title | 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_short | 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 |
| topic | QA75 Electronic computers. Computer science |
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