| Fredholm Integro——differential型方程的Legendre小波方法 |
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| 引用本文： | 石智,邓志清.Fredholm Integro——differential型方程的Legendre小波方法[J].数学研究,2009,42(4):411-417. |
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| 作者姓名： | 石智 邓志清 |
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| 作者单位： | 西安建筑科技大学理学院,陕西,西安,710055 |
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| 基金项目： | 国家自然科学基金资助项目，陕西省教育厅专项科研计划项目 |
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| 摘 要： | 研究Legendre小波方法求解具有一阶导和二阶导类型的线性Fredholm integro-differential型方程。应用Legendre小波逼近法把这两类方程分别化为代数方程求解．实例说明。Legendre小波在解决这两类方程时的可行性和有效性．
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| 关 键 词： | Legendre小波 integro-differential型方程 积分算子矩阵 |
Numbrical Solution of Fredholm Integro-differential Equations by Using Legendre Wavelets |
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| Shi Zhi,Deng Zhiqing.Numbrical Solution of Fredholm Integro-differential Equations by Using Legendre Wavelets[J].Journal of Mathematical Study,2009,42(4):411-417. |
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| Authors: | Shi Zhi Deng Zhiqing |
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| Institution: | (School of science, Xi＇an University of Architecture Technology, Xi＇an Sanxi 710055, China) |
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| Abstract: | We use Legendre wavelets method to solve the first-order and the second-order linear Fredholm integro-differential equations. Legendre wavelet approximation is untilized to reduce the integro-differential to the algebraic equations. Illustrative examples are included to demonstrate the validity and applicability of the technique. |
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| Keywords: | Legendre wavelets integro-differential equation operational matrix of integration |
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