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Hybrid method of fuzzy homotopy and runge kutta fehlberg method for solving fuzzy nonlinear equations

Master of Science in Engineering Mathematics

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Bibliographic Details
Main Author: Nurul Jannah, Mohd Aisa
Other Authors: Muhammad Zaini, Ahmad, Assoc. Prof. Dr.
Format: Dissertation
Language:English
Published: Universiti Malaysia Perlis (UniMAP) 2017
Subjects:
Runge-Kutta formulas
Fuzzy algorithms
Online Access:http://dspace.unimap.edu.my:80/xmlui/handle/123456789/77204
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spelling my.unimap-772042022-11-25T01:28:54Z Hybrid method of fuzzy homotopy and runge kutta fehlberg method for solving fuzzy nonlinear equations Nurul Jannah, Mohd Aisa Muhammad Zaini, Ahmad, Assoc. Prof. Dr. Runge-Kutta formulas Fuzzy algorithms Master of Science in Engineering Mathematics The system of fuzzy nonlinear equations plays an important role in solving real-world problems. However, to solve the system of fuzzy nonlinear equations is not an easy task. This is patently obvious when dealing with trigonometric, hyperbolic, and exponential functions. Therefore, a numerical method is needed in order to overcome this issue. In this dissertation, a hybrid method of Fuzzy Homotopy and Runge Kutta Fehlberg is proposed to solve the system of fuzzy nonlinear equations. This method is extended from the Fuzzy Homotopy and Continuation Method proposed in the literature. The proposed hybrid method involves numerically finding the solution from known problems and continuing the solution until the unknown problem is found. The algorithm of the proposed hybrid method is developed and tested on a numerical example. The results are analyzed and compared with the existing methods in terms of errors, accuracy and convergence. Based on the results, the proposed hybrid method showed less error and good result in terms of accuracy and convergence compared to the existing methods. Therefore, the proposed hybrid method is superior and can be employed to solve complex system of fuzzy nonlinear equations. 2017 2022-11-25T01:27:34Z 2022-11-25T01:27:34Z Dissertation http://dspace.unimap.edu.my:80/xmlui/handle/123456789/77204 en Universiti Malaysia Perlis (UniMAP) Universiti Malaysia Perlis (UniMAP) Institute of Engineering Mathematics
institution Universiti Malaysia Perlis
building UniMAP Library
collection Institutional Repository
continent Asia
country Malaysia
content_provider Universiti Malaysia Perlis
content_source UniMAP Library Digital Repository
url_provider http://dspace.unimap.edu.my/
language English
topic Runge-Kutta formulas
Fuzzy algorithms
spellingShingle Runge-Kutta formulas
Fuzzy algorithms
Nurul Jannah, Mohd Aisa
Hybrid method of fuzzy homotopy and runge kutta fehlberg method for solving fuzzy nonlinear equations
description Master of Science in Engineering Mathematics
author2 Muhammad Zaini, Ahmad, Assoc. Prof. Dr.
author_facet Muhammad Zaini, Ahmad, Assoc. Prof. Dr.
Nurul Jannah, Mohd Aisa
format Dissertation
author Nurul Jannah, Mohd Aisa
author_sort Nurul Jannah, Mohd Aisa
title Hybrid method of fuzzy homotopy and runge kutta fehlberg method for solving fuzzy nonlinear equations
title_short Hybrid method of fuzzy homotopy and runge kutta fehlberg method for solving fuzzy nonlinear equations
title_full Hybrid method of fuzzy homotopy and runge kutta fehlberg method for solving fuzzy nonlinear equations
title_fullStr Hybrid method of fuzzy homotopy and runge kutta fehlberg method for solving fuzzy nonlinear equations
title_full_unstemmed Hybrid method of fuzzy homotopy and runge kutta fehlberg method for solving fuzzy nonlinear equations
title_sort hybrid method of fuzzy homotopy and runge kutta fehlberg method for solving fuzzy nonlinear equations
publisher Universiti Malaysia Perlis (UniMAP)
publishDate 2017
url http://dspace.unimap.edu.my:80/xmlui/handle/123456789/77204
_version_ 1753972994507538432
score 13.214268

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