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Fredholm Integro-Differential型方程的Legendre小波方法

Numbrical Solution of Fredholm Integro-Differential Equations by Using Legendre Wavelets
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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Fredhol mintegro-differential型方程,应用Leg-endre小波逼近法将这2类方程分别化为代数方程求解.实例说明,Legendre小波在解决这2类方程时具可行性和有效性. Legendre wavelets method is used 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.
作者 石智 邓志清
出处 《吉首大学学报(自然科学版)》 CAS 2009年第3期1-5,共5页 Journal of Jishou University(Natural Sciences Edition)
基金 国家自然科学基金资助项目(10671151)
关键词 LEGENDRE小波 integro-differential型方程 积分算子矩阵 Legendre wavelets integro-differential equation operational matrix of integration
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