Open AccessSolving the Vibrating Spring Equation Using Fuzzy Elzaki Transform
Author(s) -
Rehab Ali Khudair,
Ameera N. Alkiffai,
Athraa Neamah Albukhuttar
Publication year - 2020
Publication title -
mathematical modelling and engineering problems/mathematical modelling of engineering problems
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.26
H-Index - 11
eISSN - 2369-0747
pISSN - 2369-0739
DOI - 10.18280/mmep.070406
Subject(s) - mathematics , fuzzy logic , fuzzy number , context (archaeology) , differentiable function , mathematical analysis , spring (device) , fuzzy set , computer science , artificial intelligence , physics , paleontology , biology , thermodynamics
In this article, a fuzzy Elzaki transform (FZT) is discussed in the context of highly-generalized differentiability concepts, where a new formula of fuzzy derivatives for the fuzzy Elzaki transform is derived as well. It shows the applicability of this interesting fuzzy transform for solving differential equations with constant coefficients also for its computational power. Since ordinary linear equations are mostly used in physical fields, the motion of a mass on a vibrating spring problem is solved by using this kind of fuzzy Elzaki transform.