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| 解Hammerstein型积分方程的多小波Galerkin方法 | |
| 引用本文： | 朱莉,韩惠丽. 解Hammerstein型积分方程的多小波Galerkin方法[J]. 海南师范大学学报(自然科学版), 2009, 22(2): 142-145 |
| 作者姓名： | 朱莉 韩惠丽 |
| 作者单位： | 宁夏大学,数学计算机学院,宁夏,银川750021 |
| 基金项目： | 教育部科学技术研究重点项目，宁夏自然科学基金资助项目，宁夏高等学校科学研究基金 |
| 摘 要： | 采用Legendre多小波Galerkin方法求解了一类重要的非线性Fredholm积分方程,称作Hammerstein型积分方程.文章采用的方法优点在于不用计算小波积分就可以精确得到小波展开式的系数,因此计算量小但精度很高.离散后的非线性积分方程转化成为非线性代数方程组.数值算例表明这种方法的具有良好的精确度. |
| 关 键 词： | Hammerstein型积分方程 Galerkin方法 Legendre多小渡 |
Solving Hammerstein Integral Equations by Multiwavelets Galerkin Method |
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| ZHU Li,HAN Huili. Solving Hammerstein Integral Equations by Multiwavelets Galerkin Method[J]. Journal of Hainan Normal University:Natural Science, 2009, 22(2): 142-145 | |
| Authors: | ZHU Li HAN Huili |
| Abstract: | In this paper, we use the Legendre multi-wavelets Galerkin method for solving one of the most important cases in nonlinear Fredholm integral equation which is called Hammerstein equations.A main advantage of the present method is that the wavelets expansion coefficients are exactly obtained without calculating the wavelet integrations. Therefore, the computational cost is low whereas the accuracy is high. After discretization, the nonlinear integral equation is converted into a system of nonlinear equations. Numerical examples show that the approach has a good degree of accuracy. |
| Keywords: | Hammerstein integral equations Galerkin method Legendre multi-wavelets |
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