L^1空间中第二类Fredholm积分方程的投影数值解法  

A Projection of Numerical Solution Methods of Fredholm Integral Equation of the Second Kind in L^1 Space

作　　者：李博 王丽洁 王辉[1] 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)

机构地区：[1]哈尔滨师范大学数学科学学院,黑龙江哈尔滨150025 [2]哈尔滨理工大学理学院,黑龙江哈尔滨150080 [3]北京联合大学基础部,北京100101 [4]中国科学院大学数学与系统研究院,北京100049

出　　处：《数学的实践与认识》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)

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.

关 键 词：FREDHOLM积分方程 离散化方法 投影算子 L^1空间 

分 类 号：O241.8[理学—计算数学]