Modified fourth order runge-kutta method for solving fuzzy differential equations

Research output: Contribution to journalArticle

Abstract

In this paper, a modified fourth order Runge-Kutta method is applied for solving fuzzy differential equations based on generalized Hukuhara differentiability. This study explores the explicit methods which are modified to solve fuzzy differential equations. Numerical examples are given to illustrate the accuracy of the method. Results obtained are compared with the results from existing method and it shows that the proposed method gives the better results. We conclude that the proposed method works well for solving fuzzy differential equations.

Original languageEnglish
Pages (from-to)2299-2315
Number of pages17
JournalFar East Journal of Mathematical Sciences
Volume101
Issue number10
DOIs
Publication statusPublished - 2017

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Fuzzy Differential Equations
Runge-Kutta Methods
Fourth Order
Explicit Methods
Differentiability
Numerical Examples

Keywords

  • Fuzzy differential equations
  • Hukuhara differentiability
  • Modified fourth order Runge-Kutta method

ASJC Scopus subject areas

  • Mathematics(all)

Cite this

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title = "Modified fourth order runge-kutta method for solving fuzzy differential equations",
abstract = "In this paper, a modified fourth order Runge-Kutta method is applied for solving fuzzy differential equations based on generalized Hukuhara differentiability. This study explores the explicit methods which are modified to solve fuzzy differential equations. Numerical examples are given to illustrate the accuracy of the method. Results obtained are compared with the results from existing method and it shows that the proposed method gives the better results. We conclude that the proposed method works well for solving fuzzy differential equations.",
keywords = "Fuzzy differential equations, Hukuhara differentiability, Modified fourth order Runge-Kutta method",
author = "A. Ramli and Ahmad, {Rokiah @ Rozita} and Din, {Ummul Khair Salma}",
year = "2017",
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pages = "2299--2315",
journal = "Far East Journal of Mathematical Sciences",
issn = "0972-0871",
publisher = "University of Allahabad",
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AB - In this paper, a modified fourth order Runge-Kutta method is applied for solving fuzzy differential equations based on generalized Hukuhara differentiability. This study explores the explicit methods which are modified to solve fuzzy differential equations. Numerical examples are given to illustrate the accuracy of the method. Results obtained are compared with the results from existing method and it shows that the proposed method gives the better results. We conclude that the proposed method works well for solving fuzzy differential equations.

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KW - Hukuhara differentiability

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