基于有理Haar小波求解分数阶第2类Fredholm积分方程  

Numerical Solution of Fractional Fredhlom Integral Equation of the Second Kind Based on the Rationalized Haar Wavelet

作　　者：张倩[1] 韩惠丽[1] 张盼盼[1] 

机构地区：[1]宁夏大学数学计算机学院,宁夏银川750021

出　　处：《江西师范大学学报（自然科学版）》2014年第1期47-50,82,共5页Journal of Jiangxi Normal University(Natural Science Edition)

基　　金：国家自然科学基金(11261041)资助项目

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.The rationalized Haar functions are used to solve the solution of fractional order Fredholm integrat equa- tion of the second kind. The integral equation can be reduced to a system of algebraic equations by using ration- ahzed 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 by error analysis and numerial examples. The result shows that the algorithm has high accuracy.

关 键 词：有理Haar小波 分数阶 第2类Fredholm积分方程 配置法 

分 类 号：O175.5[理学—数学]