Numerical Solutions of Fuzzy Differential Equations by Harmonic Mean and Cubic Mean of Modified Euler' s Method

Authors

Balaji R Department of Mathematics, Panimalar Engineering College, Chennai-600123, Tamilnadu, India
Antline Nisha B Department of Mathematics, St. Joseph' s Institute of Technology, Chennai-600119, Tamilnadu, India
Saradha M Departmentof Mathematics, School of Applied Sciences, REVA University, Bangalore-560064, India
R. Udhayakumar Department of Mathematics, School of Advanced Sciences, Vellore Institute of Technology, Vellore-632014, Tamilnadu, India https://orcid.org/0000-0002-7020-3466

DOI:

https://doi.org/10.37256/cm.4320233393

Keywords:

modified Euler’s method, harmonic mean method, cubic mean method, differential equation, fuzzy initial value, fuzzy solutions

Abstract

We aimed to solve first-order differential equations using two novel techniques: the harmonic mean and the cubic mean of Euler' s modified approach for fuzzy primary value in this research proposal. We present a new formulation of Euler' s classic approach based on Zadeh' s extension concept to address this dependency issue in a fuzzy situation. In the literature, numerical approaches for solving differential equations with fuzzy main values often disregard this issue. With a few examples, we show how our approach outperforms more traditional fuzzy approaches based on Euler' s method.

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Published

2023-09-08

How to Cite

R B, B AN, M S, Udhayakumar R. Numerical Solutions of Fuzzy Differential Equations by Harmonic Mean and Cubic Mean of Modified Euler’ s Method. Contemp. Math. [Internet]. 2023 Sep. 8 [cited 2026 Feb. 8];4(3):581-9. Available from: https://ojs.wiserpub.com/index.php/CM/article/view/3393

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Issue

Contemporary Mathematics, Volume 4 Issue 3 (2023), 379-619

Section

Research Article