## 留言板

 引用本文: 姜微, 韩惠丽, 李风军. 基于自适应小波神经网络的第二类Fredholm积分方程数值解法[J]. 应用数学和力学, 2019, 40(12): 1399-1408.
JIANG Wei, HAN Huili, LI Fengjun. Numerical Solution to the Second Kind of Fredholm Integral Equation Based on the Adaptive Wavelet Neural Network[J]. Applied Mathematics and Mechanics, 2019, 40(12): 1399-1408. doi: 10.21656/1000-0887.400029
 Citation: JIANG Wei, HAN Huili, LI Fengjun. Numerical Solution to the Second Kind of Fredholm Integral Equation Based on the Adaptive Wavelet Neural Network[J]. Applied Mathematics and Mechanics, 2019, 40(12): 1399-1408.

• 中图分类号: TP183

## Numerical Solution to the Second Kind of Fredholm Integral Equation Based on the Adaptive Wavelet Neural Network

Funds: The National Natural Science Foundation of China(61662060；11762016)
• 摘要: 该文构造了一类三层前馈自适应小波神经网络,将小波分析中平移因子和伸缩因子的拟合设置为输入层到隐层的权值与阈值,采用小波基函数作为隐层激活函数,并根据梯度下降算法自适应地调整参数.应用自适应小波神经网络数值求解第二类Fredholm积分方程,通过数值算例验证了该方法的可行性和有效性.
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##### 出版历程
• 收稿日期:  2019-01-10
• 修回日期:  2019-10-30
• 刊出日期:  2019-12-01

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