| Legendre多小波数值求解Fredhoim积分-微分方程 |
| |
| 引用本文： | 韩惠丽,朱莉.Legendre多小波数值求解Fredhoim积分-微分方程[J].宁夏大学学报(自然科学版),2011,32(4):301-304. |
| |
| 作者姓名： | 韩惠丽 朱莉 |
| |
| 作者单位： | 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 |
| |
| 基金项目： | supported by the Natural Science Foundation of Ningxia(NZ1101);supported by the Scientific Research Foundation in Ningxia University(NDZR10-32)~~ |
| |
| 摘 要： | 利用定义在0，1）上的连续Legendre多小波数值求解线性Fredholm积分一微分方程．剁用Legendre多小波逼近理论将积分一微分方程离散化为代数方程组．最后用数值算例与CAS小波理论以及Legendre小波理论比较，结果表明特别是当方程的解是线性函数时，Legendre多小波方法表现出更高的精度和有效性．
|
| 关 键 词： | 算子矩阵 积分-微分方程 Legendre多小波 |
Numerical Solution of FredholmIntegro-differential Equation with Legendre Multi-wavelets Method |
| |
| Han Huili
,
Zhu Li.Numerical Solution of FredholmIntegro-differential Equation with Legendre Multi-wavelets Method[J].Journal of Ningxia University(Natural Science Edition),2011,32(4):301-304. |
| |
| Authors: | Han Huili Zhu Li |
| |
| Institution: | 1.School of Mathematics and Computer Science,Ningxia University,Yinchuan 750021,China;2.School of Mathematics and Statistics,Wuhan University,Wuhan 430072,China) |
| |
| 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. |
| |
| Keywords: | operational matrix integro-differential equations Legendre multi-wavelets |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ |
