有理Haar小波求解非线性分数阶Fredholm积分微分方程

吉林大学学报(理学版)

有理Haar小波求解非线性分数阶Fredholm积分微分方程

黄洁^1,2, 韩惠丽¹, 梁亮^1,3

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

收稿日期:2014-09-17 出版日期:2015-09-26 发布日期:2015-09-29
通讯作者: 黄洁 E-mail:nxhan@126.com

Rationalized Haar Wavelet Method for Solving Nonlinear Fractional Fredholm IntegroDifferential Equation

HUANG Jie^1,2, HAN Huili¹， LIANG Liang^1,3

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

Received:2014-09-17 Online:2015-09-26 Published:2015-09-29
Contact: HUANG Jie E-mail:nxhan@126.com

摘要/Abstract

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.

关键词: 有理Haar小波, Fredholm积分微分方程, 分数阶微积分

Abstract:

Based on the rationalized Haar wavelet operational matrix of fractional integration, a numerical method was presented for solving nonlinear fractional Fredholm integrodifferential equation. And numerical experiments verify the accuracy and validity of the proposed algorithm.

Key words: rationalized Haar wavelet, Fredholm integrodifferential equation, fractional calculus

中图分类号:

O175.6

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(05): 868-873.

HUANG Jie, HAN Huili，LIANG Liang. Rationalized Haar Wavelet Method for Solving Nonlinear Fractional Fredholm IntegroDifferential Equation[J]. Journal of Jilin University Science Edition, 2015, 53(05): 868-873.

[1]	吴睿, 高珊珊, 程毅. 一类Caputo型分数阶微分包含的非局部问题[J]. 吉林大学学报(理学版), 2021, 59(1): 55-59.
[2]	黄洁, 韩惠丽. 应用Legendre小波求解非线性分数阶Volterra积分微分方程[J]. 吉林大学学报(理学版), 2014, 52(04): 655-660.