摘要
利用定义在[0,1]上的Legendre多小波构造插值基求解第一类Volterra积分方程,主要采用配置法将积分方程离散化为线性方程组。最后利用数值算例验证了结果的有效性。
The continuous Legendre multi-wavelets constructed on [ 0, 1 ] are utilized as a basis to estimate a solution for Volterra integral equation of the first kind. In this procedure, collocation method is used to convert integral equation to a system of linear equations. Numerical examples are included to demonstrate the efficiency and the application of the technique
出处
《科学技术与工程》
2010年第7期1596-1599,1610,共5页
Science Technology and Engineering
基金
国家自然科学基金(10661009,10962008)
教育部科学技术重点项目(207124)资助
关键词
第一类Volterra积分方程
配置理论
小波逼近
多小波
volterra integral equation of the first kind collocation method wavelet approximation multi -wavelets
