Numerical solution of fuzzy differential equations under generalized Hukuhara differentiability

Computer Engineering and Applications ›› 2012, Vol. 48 ›› Issue (2): 56-58.

• 研究、探讨 • Previous Articles Next Articles

Numerical solution of fuzzy differential equations under generalized Hukuhara differentiability

WANG Lei1, GUO Sizong2, LI Na1

1.Department of Basic Teaching, Liaoning Technical University, Huludao, Liaoning 125105, China
2.College of Science, Liaoning Technical University, Fuxin, Liaoning 123000, China

Received:1900-01-01 Revised:1900-01-01 Online:2012-01-11 Published:2012-01-11

具有推广Hukuhara导数的模糊微分方程的数值解

王磊1，郭嗣琮2，李娜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

Abstract: This paper studies the first order fuzzy differential equations with initial value problem by using the strongly generalized differentiability concept. Utilizing the predictor-corrector method, the problem of finding a numerical approximation of solutions is investigated. The method’s applicability is illustrated by solving a linear first-order fuzzy differential equation.

Key words: triangular fuzzy number, fuzzy differential equation, generalized Hukuhara differentiability, Adams method, predictor-corrector method

摘要： 在推广Hukuhara导数概念下研究了一阶模糊微分方程的模糊初值问题，利用预估-校正算法给出了模糊初值问题的数值解，文中的例子说明了方法的可行性及实用性。

关键词: 三角模糊数, 模糊微分方程, 推广Hukuhara导数, 阿达姆斯法, 预估-校正法

WANG Lei1, GUO Sizong2, LI Na1. Numerical solution of fuzzy differential equations under generalized Hukuhara differentiability[J]. Computer Engineering and Applications, 2012, 48(2): 56-58.

王磊1，郭嗣琮2，李娜1. 具有推广Hukuhara导数的模糊微分方程的数值解[J]. 计算机工程与应用, 2012, 48(2): 56-58.

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Numerical solution of fuzzy differential equations under generalized Hukuhara differentiability

具有推广Hukuhara导数的模糊微分方程的数值解

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