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Numerical Solution of Second-Order Fuzzy Differential Equation Using Improved Runge-Kutta Nystrom Method
Joint Authors
Rabiei, Faranak
Ismail, F.
Ahmadian, Ali
Salahshour, Soheil
Source
Mathematical Problems in Engineering
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-10, 10 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-05-20
Country of Publication
Egypt
No. of Pages
10
Main Subjects
Abstract EN
We develop the Fuzzy Improved Runge-Kutta Nystrom (FIRKN) method for solving second-order fuzzy differential equations (FDEs) based on the generalized concept of higher-order fuzzy differentiability.
The scheme is two-step in nature and requires less number of stages which leads to less number of function evaluations in comparison with the existing Fuzzy Runge-Kutta Nystrom method.
Therefore, the new method has a lower computational cost which effects the time consumption.
We assume that the fuzzy function and its derivative are Hukuhara differentiable.
FIRKN methods of orders three, four, and five are derived with two, three, and four stages, respectively.
The numerical examples are given to illustrate the efficiency of the methods.
American Psychological Association (APA)
Rabiei, Faranak& Ismail, F.& Ahmadian, Ali& Salahshour, Soheil. 2013. Numerical Solution of Second-Order Fuzzy Differential Equation Using Improved Runge-Kutta Nystrom Method. Mathematical Problems in Engineering،Vol. 2013, no. 2013, pp.1-10.
https://search.emarefa.net/detail/BIM-1010778
Modern Language Association (MLA)
Rabiei, Faranak…[et al.]. Numerical Solution of Second-Order Fuzzy Differential Equation Using Improved Runge-Kutta Nystrom Method. Mathematical Problems in Engineering No. 2013 (2013), pp.1-10.
https://search.emarefa.net/detail/BIM-1010778
American Medical Association (AMA)
Rabiei, Faranak& Ismail, F.& Ahmadian, Ali& Salahshour, Soheil. Numerical Solution of Second-Order Fuzzy Differential Equation Using Improved Runge-Kutta Nystrom Method. Mathematical Problems in Engineering. 2013. Vol. 2013, no. 2013, pp.1-10.
https://search.emarefa.net/detail/BIM-1010778
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1010778