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
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)