A new fuzzy approximation method to Cauchy problems by fuzzy transform

被引：77

作者：

Khastan, A. ^{[1
]}

Perfilieva, I. ^{[2
]}

Alijani, Z. ^{[1
]}

机构：

[1] IASBS, Dept Math, Zanjan 4513766731, Iran

[2] Univ Ostrava, Inst Res & Applicat Fuzzy Modelling, NSC IT4Innovat, CZ-70103 Ostrava, Czech Republic

来源：

FUZZY SETS AND SYSTEMS | 2016年 / 288卷

关键词：

F-transform; Higher degree F-transform; Cauchy problem; Fuzzy initial value problem; Mid-point rule; PREDICTOR-CORRECTOR METHOD; DIFFERENTIAL-EQUATIONS; NUMERICAL-SOLUTION;

D O I：

10.1016/j.fss.2015.01.001

中图分类号：

TP301 [理论、方法];

学科分类号：

081202 ;

摘要：

We present new numeric methods based on the first and second degree F-transform for solving the Cauchy problem. We show that they outperform the second order Runge-Kutta method especially when a right-hand function is oscillating and/or a solution is requested on a long interval. Moreover, a new numeric method to solve fuzzy initial value problem using the F-transform is presented. The suitability of the presented new methods is theoretically justified and illustrated on various examples. (C) 2015 Elsevier B.V. All rights reserved.

引用

页码：75 / 95

页数：21

共 13 条

[1] Numerical solution of fuzzy differential equations by predictor-corrector method [J].