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Legendre多小波数值求解Fredholm积分-微分方程

韩惠丽 朱莉

宁夏大学学报(自然科学版)2011,Vol.32Issue(4):301-304,4.
宁夏大学学报(自然科学版)2011,Vol.32Issue(4):301-304,4.

Legendre多小波数值求解Fredholm积分-微分方程

Numerical Solution of Fredholm Integro-differential Equation with Legendre Multi-wavelets Method

韩惠丽 1朱莉2

作者信息

  • 1. 宁夏大学数学计算机学院,宁夏银川750021
  • 2. 武汉大学数学与统计学院,湖北武汉430072
  • 折叠

摘要

Abstract

In this paper,the continuous Legendre multi-wavelets constructed on [0,1) are used to solve a class of Fredholm integro-differential equation.The Legendre multi-wavelets approximating method is utilized to reduce the integro-differential equation to the algebraic equations.Compared to CAS wavelets method and to Legendre wavelets method by numerical examples,Legendre multi-wavelets method is more efficient and accurate than the ordinary ones,especially when the equation solution is a linear function.

关键词

算子矩阵/积分-微分方程/Legendre多小波

Key words

operational matrix/ integro-differential equations/ Legendre multi-wavelets

分类

数理科学

引用本文复制引用

韩惠丽,朱莉..Legendre多小波数值求解Fredholm积分-微分方程[J].宁夏大学学报(自然科学版),2011,32(4):301-304,4.

基金项目

supported by the Natural Science Foundation of Ningxia (NZ1101) (NZ1101)

supported by the Scientific Research Foundation in Ningxia University(NDZR10-32) (NDZR10-32)

宁夏自然科学基金资助项目(NZ1101) (NZ1101)

宁夏大学科研基金资助项目(NDZR10-32) (NDZR10-32)

宁夏大学学报(自然科学版)

OACSTPCD

0253-2328

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