二阶模糊微分方程的Adomian解法

Solution of Second order Fuzzy Differential Equations by Adomian Decomposition Method

在一阶广义Hukuhara导数的基础上定义了模糊值函数的二阶广义Hukuhara导数,利用该导数研究了二阶模糊微分方程的模糊初值问题,将二阶模糊微分方程转化成4个等价的常微分方程组,给出了模糊初值问题近似解析解的A dom ian解法,文中给出了具体算例。

In this paper, we defined the second order generalized Hukuhara derivative for fuzzy-valued functions on the basis of first order generalized Hukuhara derivative and studied the second order fuzzy differential equations with fuzzy initial value problem using this derivative. We translated the second order fuzzy differential equations into four ordinary differential equations with the generalized Hukuhara derivative and gave the solution of fuzzy initial value problems using Adomian decomposition method, we illustrated the result by showing one example.