Numerical solution of second order IVP by fuzzy transform method

Author(s):

Mostafa Ghobadi* , Mashallah Matinfar , Tofigh Allahviranloo

Message:
Article Type:
Research/Original Article (دارای رتبه معتبر)
Abstract:

In this paper, we employed fuzzy transforms to present a new method for solving the problem through second-order fuzzy initial value. The advantage of the fuzzy transform method is that, unlike other methods (e.g. high-order fuzzy Taylor series), it does not require any higher-order derivative calculation, thus reducing computational cost. In two examples, the results of the newly proposed method were examined against several conventional methods, indicating the more desirable performance of the new method.

Keywords:

Differential equations , Second-order initial value problem (IVP) , Fuzzy transformmethod

Language:
English
Published:
International Journal Of Nonlinear Analysis And Applications, Volume:12 Issue: 1, Winter-Spring 2021
Pages:
143 to 156
https://www.magiran.com/p2261204