Solving fuzzy differential equations using third order Runge Kutta based on contraharmonic mean

In this paper a three stage Runge Kutta method based Contraharmonic Mean is applied for solving fuzzy differential equations based on generalized Hukuhara differentiability. This study intends to explore an explicit method which can be improved and modified to solve fuzzy differential equations. Som...

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Bibliographic Details
Main Authors: Ramli Amirah, Ahmad Rokiah @ Rozita, Din Ummul Khair Salma, Salleh Abdul Razak
Format: Conference Proceeding
Language:English
Subjects:
Differential equations
Mathematical analysis
Runge-Kutta method
Online Access:Get full text
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Summary:In this paper a three stage Runge Kutta method based Contraharmonic Mean is applied for solving fuzzy differential equations based on generalized Hukuhara differentiability. This study intends to explore an explicit method which can be improved and modified to solve fuzzy differential equations. Some definitions and theorem are reviewed as a basis in solving fuzzy differential equations. A numerical example is given to illustrate the accuracy of the method. The comparison with the existing method is also discussed. The proposed method gives better numerical results and suitable for solving fuzzy differential equations.
ISSN:0094-243X
1551-7616
DOI:10.1063/1.4931331