| 应用径向基神经网络求解第二类线性Fredholm积分方程 |
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| 引用本文： | 郭新辰,陈书坤,吴希.应用径向基神经网络求解第二类线性Fredholm积分方程[J].东北电力学院学报,2009,29(2):32-34. |
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| 作者姓名： | 郭新辰 陈书坤 吴希 |
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| 作者单位： | 东北电力大学理学院,吉林,吉林,132012 |
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| 基金项目： | 吉林省科技发展计划项目 |
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| 摘 要： | 提出用径向基神经网络求解第二类Fredholm方程的方法.首先使用径向基神经网络逼近积分方程中的未知函数,然后将求解第二类积分方程转化为一个优化问题.粒子群优化算法具有不易陷入局部极小、易实现和调整参数较少的优点,从而利用粒子群优化算法的求解该优化问题.数值实验表明所提方法是可行的.
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| 关 键 词： | Fredholm积分方程 径向基神经网路 粒子群优化算法 |
Solving the Second Kind Linear Fredholm Integral Equations Using RBFNN |
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| GUO Xin-chen,CHEN Shu-kun,WU Xi.Solving the Second Kind Linear Fredholm Integral Equations Using RBFNN[J].Journal of Northeast China Institute of Electric Power Engineering,2009,29(2):32-34. |
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| Authors: | GUO Xin-chen CHEN Shu-kun WU Xi |
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| Affiliation: | GUO Xin-chen,CHEN Shu-kun,WU Xi (Science College of Northeast Dianli University,Jilin,132012) |
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| Abstract: | In this paper,the method based on radial basis function neural networks(RBFNN) is presented to solve the second kind linear Fredholm integral equations.Firstly,RBFNN is applied to approximate the unknown function in integral equations,and then solving the second kind Fredholm can be converted to solve an optimization problem.The advantages of Particle swarm optimization(PSO) are that PSO possesses the capability to escape from local optima,and it is easy to be implemented and has fewer parameters to be adju... |
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| Keywords: | Fredholm integral equation Radial basis function neural network Particle swarm optimization |
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