| 基于有理Haar小波求解分数阶第2类Fredholm积分方程 |
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| 引用本文： | 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),2014,0(1):47-50. |
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| 作者姓名： | 张倩 韩惠丽 张盼盼 |
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| 作者单位： | 宁夏大学数学计算机学院,宁夏银川,750021 |
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| 基金项目： | 国家自然科学基金(11261041)资助项目 |
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| 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.
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| 关 键 词： | 有理Haar小波 分数阶 第2类Fredholm积分方程 配置法 |
Numerical Solution of Fractional Fredhlom Integral Equation of the Second Kind Based on the Rationalized Haar Wavelet |
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| 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 Sciences Edition),2014,0(1):47-50. |
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| Authors: | ZHANG Qian HAN Hui-li ZHANG Pan-pan |
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| 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. |
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| Keywords: | rationalized Haar wavelet fractional order Fredhlom integral equation of the second kind collocation method |
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