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

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.