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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
【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.
【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.
【关键词】 Legendre小波;
integro-differential型方程;
积分算子矩阵;
【Key words】 Legendre wavelets; integro-differential equation; operational matrix of integration;
【Key words】 Legendre wavelets; integro-differential equation; operational matrix of integration;
【基金】 国家自然科学基金资助项目(10671151);陕西省教育厅专项科研计划项目(09JK539)
- 【文献出处】 数学研究 ,Journal of Mathematical Study , 编辑部邮箱 ,2009年04期
- 【分类号】O241.82
- 【被引频次】8
- 【下载频次】77