| 有理Haar小波求解非线性分数阶Fredholm积分微分方程 |
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| 引用本文： | 黄洁,韩惠丽,梁亮.有理Haar小波求解非线性分数阶Fredholm积分微分方程[J].吉林大学学报(理学版),2015,53(5):868-873. |
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| 作者姓名： | 黄洁 韩惠丽 梁亮 |
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| 作者单位： | 1. 宁夏大学 数学计算机学院, 银川 750021； 2. 银川能源学院 基础部， 银川 750199； 3. 西部机场集团 宁夏机场有限公司, 银川 750004 |
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| 摘 要： | 利用有理Haar小波的分数阶积分算子矩阵,提出一种求解非线性分数阶Fredholm积分微分方程的数值算法,并通过数值实验验证了所提算法的精确性和有效性.
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| 关 键 词： | 有理Haar小波 Fredholm积分微分方程 分数阶微积分 |
| 收稿时间： | 2014-09-17 |
Rationalized Haar Wavelet Method for Solving Nonlinear Fractional Fredholm Integro-Differential Equation |
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| HUANG Jie,HAN Huili,LIANG Liang.Rationalized Haar Wavelet Method for Solving Nonlinear Fractional Fredholm Integro-Differential Equation[J].Journal of Jilin University: Sci Ed,2015,53(5):868-873. |
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| Authors: | HUANG Jie HAN Huili LIANG Liang |
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| Institution: | 1. School of Mathematics and Computer Science, Ningxia University, Yinchuan 750021, China;2. School of Basic Courses, Yinchuan Energy College, Yinchuan 750199, China;3. Ningxia Airport Co., LTD, China West Airport Group, Yinchuan 750004, China |
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| Abstract: | Based on the rationalized Haar wavelet operational matrix of fractional integration, a numerical method was presented for solving nonlinearfractional Fredholm integro differential equation. And numerical experiments verify the accuracy and validity of the proposed algorithm. |
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| Keywords: | rationalized Haar wavelet Fredholm integro differential equation fractional calculus |
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