Approximate solution for a class of second-order ordinary differential equations by the fuzzy transform

被引：19

作者：

Chen, Wei ^{[1
]}

Shen, Yonghong ^{[2
,3
]}

机构：

[1] Capital Univ Econ & Business, Sch Informat, Beijing, Peoples R China

[2] Beijing Inst Technol, Sch Math, Beijing 100081, Peoples R China

[3] Tianshui Normal Univ, Sch Math & Stat, Tianshui, Peoples R China

来源：

JOURNAL OF INTELLIGENT & FUZZY SYSTEMS | 2014年 / 27卷 / 01期

关键词：

Fuzzy transform; inverse fuzzy transform; approximate solution; ordinary differential equations; taylor expansion; COMPRESSION;

D O I：

10.3233/IFS-130979

中图分类号：

TP18 [人工智能理论];

学科分类号：

081104 ; 0812 ; 0835 ; 1405 ;

摘要：

In the present paper, based on the fuzzy transform method, a novel and efficient algorithm to obtain an approximate solution for a class of second-order ordinary differential equations is proposed, in which two cases are considered, that is, whether the differential equation contains first-order derivative. Finally, several examples are given to demonstrate the effectiveness of the proposed algorithm.

引用

页码：73 / 82

页数：10

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