Two-dimensional Legendre wavelet method for the numerical solutions of fuzzy integro-differential equations

被引：26

作者：

Sahu, Prakash Kumar ^{[1
]}

Ray, Santanu Saha ^{[1
]}

机构：

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

来源：

JOURNAL OF INTELLIGENT & FUZZY SYSTEMS | 2015年 / 28卷 / 03期

关键词：

Legendre wavelets; legendre wavelet method; integro-differential equation; fuzzy number; fuzzy calculus; FREDHOLM INTEGRAL-EQUATIONS; 2ND KIND; EXISTENCE;

D O I：

10.3233/IFS-141412

中图分类号：

TP18 [人工智能理论];

学科分类号：

081104 ; 0812 ; 0835 ; 1405 ;

摘要：

In this paper, two dimensional Legendre wavelet method has been applied to solve the fuzzy integro-differential equations. The properties of Legendre wavelets are first presented. In fuzzy case, we have developed two dimensional Legendre wavelets to approximate the fuzzy integro-differential equations. The properties of Legendre wavelets are used to reduce the system of integral equations to a system of algebraic equations which can be solved by any usual numerical method. Illustrative examples have been discussed to demonstrate the validity and applicability of the present method.

引用

页码：1271 / 1279

页数：9

共 21 条

[1] Numerical method for solving linear Fredholm fuzzy integral equations of the second kind [J].