Numerical solution of fuzzy differential equations using orthogonal polynomials

被引：6

作者：

Tapaswini, Smita ^{[1
,2
]}

Chakraverty, Snehashish ^{[3
]}

机构：

[1] Chongqing Univ, Coll Math & Stat, Chongqing 401331, Peoples R China

[2] KIIT Univ, Sch Appl Sci, Dept Math, Bhubaneswar 751024, Odisha, India

[3] Natl Inst Technol Rourkela, Dept Math, Rourkela 769008, Odisha, India

来源：

INTERNATIONAL JOURNAL OF COMPUTING SCIENCE AND MATHEMATICS | 2019年 / 10卷 / 01期

关键词：

fuzzy number; triangular fuzzy number; Legendre polynomial; Chebyshev polynomial; nth order fuzzy differential equations;

D O I：

10.1504/IJCSM.2019.097634

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

The present paper proposed a new method to solve nth order fuzzy differential equations using collocation type of method. In the solution procedure, Gram Schmidt orthogonalisation process is used with Legendre and Chebyshev polynomials. Known example problems are solved and compared with the exact results to illustrate the efficiency and reliability of the proposed method.

引用

页码：32 / 45

页数：14

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