Numerical solution of second-order fuzzy differential equation using improved Runge-Kutta Nystrom method

Citation

Rabiei, Faranak and Ismail, Fudziah and Ahmadian, Ali and Salahshour, Soheil (2013) Numerical solution of second-order fuzzy differential equation using improved Runge-Kutta Nystrom method. Mathematical Problems in Engineering, 2013. art. no. 803462. pp. 1-10. ISSN 1024-123X; ESSN: 1563-5147

Abstract

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.

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Official URL or Download Paper: http://www.hindawi.com/journals/mpe/2013/803462/

Additional Metadata

Item Type:	Article
Divisions:	Faculty of Science Institute for Mathematical Research
DOI Number:	https://doi.org/10.1155/2013/803462
Publisher:	Hindawi Publishing Corporation
Keywords:	Fuzzy differential equations; Mathematical models; Fuzzy Runge-Kutta Nystrom
Depositing User:	Umikalthom Abdullah
Date Deposited:	13 Aug 2015 06:49
Last Modified:	30 Oct 2015 03:10
Altmetrics:	http://www.altmetric.com/details.php?domain=psasir.upm.edu.my&doi=10.1155/2013/803462
URI:	http://psasir.upm.edu.my/id/eprint/30889
Statistic Details:	View Download Statistic

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