2-Point Block Backward Differentiation Formulas for Solving Fuzzy Differential Equations Directly
Nurzeehan Ismail, Zarina Bibi Ibrahim and Khairil Iskandar Othman* Author for corresponding; e-mail address: nurzeehanismail@gmail.com
Volume: Vol.44 No.4 (October 2017)
Research Article
DOI:
Received: 5 March 2013, Revised: -, Accepted: 17 August 2015, Published: -
Citation: Ismail N., Ibrahim Z.B. and Othman K.I., 2-Point Block Backward Differentiation Formulas for Solving Fuzzy Differential Equations Directly, Chiang Mai Journal of Science, 2017; 44(4): 1781-1791.
Abstract
In this paper, 2-point Block Backward Differentiation Formulas (2BBDF) for solving Ordinary Differential Equations (ODEs) is modified for the numerical solution of Fuzzy Differential Equations (FDEs). The implementation of 2BBDF using Newton iteration is discussed. Numerical results obtained by the 2BBDF are presented and compared with the Modified Simpson method in order to illustrate the ability of the 2BBDF method for solving FDEs.