| 两种有效的解非线性Volterra-Fredholm积分方程数值法 |
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| 引用本文： | 张德全,黎运发. 两种有效的解非线性Volterra-Fredholm积分方程数值法[J]. 各界, 2009, 0(7) |
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| 作者姓名： | 张德全 黎运发 |
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| 作者单位： | 广西桂林航天工业高等专科学校;广西柳州师范高等专科学校; |
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| 基金项目： | 广西自然基金(2008AM1002桂科技字[2008]32号)资助课题 |
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| 摘 要： | 非线性积分方程一般很难得到解析解,在大多数情况下都需要用函数去逼近真实解。本文应用Taylor多项式级数和Legendre小波对非线性Volterra-Fredholm解的逼近进行了比较,数值例子表明由于Legendre小波逼近应用了正交基,所得到逼近优于Taylor多项式级数逼近方法。
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| 关 键 词： | 非线性Volterra-Fredholm积分方程 Taylor多项式级数 Legendre小波 逼近解 矩阵算子 |
Two reliable numerical method for solving nonlinear Volterra-Fredholm integral equation |
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| Zhang De-quan,Li Yun-fa. Two reliable numerical method for solving nonlinear Volterra-Fredholm integral equation[J]. All Circles, 2009, 0(7) |
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| Authors: | Zhang De-quan Li Yun-fa |
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| Affiliation: | 1.GuilinCollege of Aerospace Technology;Guilin 541004;2.Department of Finance;Liuzhou Teachers College;Liuzhou;Guangxi 545004;China |
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| Abstract: | Nonlinear integral equations are usually difficult to solve analytically. In many cases,it is required to obtain the approximate solutions. In this paper,we introduce a comparison of Taylor polynomials and Legendre wavelets methods. From the computational viewpoint,the comparison shows that Legendre wavelets method in more accurate than Taylor polynomials,because of using of orthonormal basis. |
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| Keywords: | Nonlinear Volterra and Fredholm integral equation Taylor polynomials and series Legendre wavelets approximate solutions Operational matrix |
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