[1]张倩,韩惠丽,张盼盼.基于有理Haar小波求解分数阶第2类Fredholm积分方程[J].江西师范大学学报(自然科学版),2014,(01):47-50.
　ZHANG Qian,HAN Hui-li,ZHANG Pan-pan.Numerical Solution of Fractional Fredhlom Integral Equation of the Second Kind Based on the Rationalized Haar Wavelet[J].Journal of Jiangxi Normal University:Natural Science Edition,2014,(01):47-50.
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基于有理Haar小波求解分数阶第2类Fredholm积分方程()
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《江西师范大学学报》（自然科学版）[ISSN:1006-6977/CN:61-1281/TN]

卷:
期数:
2014年01期
页码:
47-50
栏目:
出版日期:
2014-02-28

文章信息/Info

Title:
Numerical Solution of Fractional Fredhlom Integral Equation of the Second Kind Based on the Rationalized Haar Wavelet
作者:
张倩;韩惠丽;张盼盼
宁夏大学数学计算机学院,宁夏银川,750021
Author(s):
ZHANG Qian；HAN Hui-li；ZHANG Pan-pan
关键词:
有理Haar小波; 分数阶; 第2类Fredholm积分方程; 配置法
Keywords:
rationalized Haar wavelet; fractional order; Fredhlom integral equation of the second kind; collocation method
分类号:
O175.5
文献标志码:
A
摘要:
利用有理Haar小波函数数值求解分数阶第2类Fredholm积分方程,用有理Haar小波定义及性质与配置法给出有理Haar小波积分算子矩阵,将积分方程转化为代数方程组进行求解.最后通过误差分析和数值算例将分数阶积分方程的精确解和用Haar小波所得数值解进行比较,表明了该算法具有较高的精确度.
Abstract:
The rationalized Haar functions are used to solve the solution of fractional order Fredholm integral equation of the second kind.The integral equation can be reduced to a system of algebraic equations by using rationalized Haar wavelet and collection method.Finally,the numerical solution of fractional integral equation with exact solution and the numerical solutions using Haar wavelet are compared.The result shows that the algorithm has high accuracy.

参考文献/References:

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备注/Memo

备注/Memo:
国家自然科学基金(11261041)
更新日期/Last Update: 1900-01-01