摘要
在L^1空间中对第二类Fredholm积分方程进行均值投影，利用先验估计和后验估计来进行误差估计，数值算例进一步验证了算法的合理性和有效性，体现了均值投影算法的优越性．
This paper discussed integral operator with mean projection of Fredholm integral equation of the second kind in L^1 space. And use a priori estimate and a posteriori estimate to error estimates.Numerical examples are shown to demonstrate the rationality and availability of the proposed algorithm. It reflects the superiority of mean projection algorithm.
作者
李博
王丽洁
王辉
张欣
任寒景
LI Bo1, WANG Li-jei2, WANG Hui1, ZHANG Xin3, REN Han-jing4(1. College of Mathematical Sciences, Harbin Normal University, Harbin 150025, China;2. Harbin University of Science and Technology, Harbin 150080, China;3. Department of Basic Courses, Beijing Union University, Beijing 100101, China;4. School of Mathematical Science University of China Academy of Science, Beijing 100049, Chin)
出处
《数学的实践与认识》
北大核心
2018年第14期272-278,共7页
Mathematics in Practice and Theory
基金
黑龙江省自然科学基金项目(A201305)
北京市教委科研计划项目(KM201811417013)
