Title of article :
Numerical solution of second order IVP by fuzzy transform method
Author/Authors :
Ghobadi, Mostafa Department of Mathematics - Science of Mathematics Faculty - University of Mazandaran, Babolsar, Iran. , Matinfar, Mashallah Department of Mathematics - Science of Mathematics Faculty - University of Mazandaran, Babolsar, Iran , Allahviranloo, Tofigh Faculty of engineering and natural sciences - Bahcesehir university, Istanbul, Turkey
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 transform method
Journal title :
International Journal of Nonlinear Analysis and Applications
