Computer Engineering and Applications ›› 2012, Vol. 48 ›› Issue (18): 1-3.

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Approximate solutions of fuzzy differential equation under π-differentiability

WANG Lei1,2, GUO Sicong2   

  1. 1.Department of Basic Teaching, Liaoning Technical University, Huludao, Liaoning 125105, China
    2.College of Science, Liaoning Technical University, Fuxin, Liaoning 123000, China
  • Online:2012-06-21 Published:2012-06-20

具有π-导数模糊微分方程的近似解

王  磊1,2,郭嗣琮2   

  1. 1.辽宁工程技术大学 基础教学部,辽宁 葫芦岛 125105
    2.辽宁工程技术大学 理学院,辽宁 阜新 123000

Abstract: The first order fuzzy differential equations with initial value problem is studied by using the π-differentiability concept, and the fuzzy differential equations will be translated into two ordinary differential equations and the approximate solutions is obtained by variational iteration method. One illustrated example is provided.

Key words: fuzzy differential equation, π-differentiability, variational iteration method, approximate solutions

摘要: 在模糊值函数具有π-导数意义下研究一阶模糊微分方程的模糊初值问题,将模糊微分方程转化成同解的常微分方程,利用变分迭代算法给出方程的近似解,给出了具体算例。

关键词: 模糊微分方程, &pi, -导数, 变分迭代法, 近似解