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  5. Fuzzy Runge–Kutta Cash–Karp method under the interpretation of Hukuhara derivative
 
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Fuzzy Runge–Kutta Cash–Karp method under the interpretation of Hukuhara derivative

Journal
AIP Conference Proceedings
ISSN
0094-243X
Date Issued
2024
Author(s)
Nurain Zulaikha Husin
Universiti Malaysia Perlis
Muhammad Zaini Ahmad
Universiti Malaysia Perlis
Mohd Kamalrulzaman Md Akhir
Universiti Malaysia Perlis
DOI
10.1063/5.0224351
Handle (URI)
https://pubs.aip.org/aip/acp/article-abstract/3189/1/030009/3308438/Fuzzy-Runge-Kutta-Cash-Karp-method-under-the?redirectedFrom=fulltext
https://pubs.aip.org/aip/acp
https://hdl.handle.net/20.500.14170/16271
Abstract
These days, researchers are interested in the study of fuzzy differential equations. Modeling can be applied to this fuzzy differential equation to find solutions related with real-world issues. Yet, it is challenging to solve this fuzzy differential equation analytically. Thus, the purpose of this study is to present the fuzzy Runge-Kutta Cash-Karp method to solve first-order fuzzy differential equation under the interpretation of Hukuhara derivative. By applying the fuzzy Runge-Kutta Cash-Karp method, the approximate solution is obtained and compared with the analytical solution. The results indicated that the approximate solutions of the proposed method are comparable to the analytical solutions in terms of accuracy.
File(s)
Fuzzy Runge-Kutta Cash-Karp method under the interpretation of Hukuhara derivative.pdf (55.94 KB)
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