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An improved Runge-Kutta method for solving fuzzy differential equations under generalized differentiability


Citation

Ahmadian, Ali and Suleiman, Mohamed and Ismail, Fudziah and Salahshour, Soheil (2012) An improved Runge-Kutta method for solving fuzzy differential equations under generalized differentiability. In: 2nd International Conference on Fundamental and Applied Sciences (ICFAS2012), 12-14 June 2012, Kuala Lumpur Convention Centre, Kuala Lumpur. (pp. 325-330).

Abstract / Synopsis

In this paper, a new Runge-Kutta method be presented which has the fifth order local truncation error with lower function evaluation in comparison with classical one's. Also we use the generalized derivative instead of Seikkala's derivative to illustrate the efficiency of this derivative. The method's applicability is illustrated by solving a linear first order fuzzy differential equation.


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Additional Metadata

Item Type: Conference or Workshop Item (Paper)
Divisions: Faculty of Science
DOI Number: https://doi.org/10.1063/1.4757488
Publisher: American Institute of Physics
Keywords: Fuzzy differential equation; Generalized differentiability; Numerical solution; Runge-Kutta method
Depositing User: Nabilah Mustapa
Date Deposited: 24 Oct 2017 11:11
Last Modified: 24 Oct 2017 11:11
Altmetrics: http://www.altmetric.com/details.php?domain=psasir.upm.edu.my&doi=10.1063/1.4757488
URI: http://psasir.upm.edu.my/id/eprint/57511
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