L^p空间中第二类Fredholm积分方程一种投影数值解法  

A Kind of Projection Numerical Solution to Fredholm Integral Equation of the Second Kind in L^p Space

作　　者：李博 王丽洁 王辉[1] 张欣 任寒景 刘兴路 LI Bo;WANG Lijie;WANG Hui;ZHANG Xin;REN Hanjing;LIU Xinglu(College of Mathematical Sciences, Harbin Normal University, Harbin 150025, China;College of Science, Harbin University of Science and Technology, Harbin 150080, China;Department of Basic Courses, Beijing Union University, Beijing 100101, China;School of Mathematical Sciences, University of Chinese Academy of Sciences, Beijing 100049, China;Key Laboratory of Systems and Control, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing 100190, China)

机构地区：[1]哈尔滨师范大学数学科学学院,哈尔滨150025 [2]哈尔滨理工大学理学院,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科学学院,北京100049 [5]中国科学院数学与系统科学研究院系统控制重点实验室,北京100190

出　　处：《应用泛函分析学报》2018年第2期198-205,共8页Acta Analysis Functionalis Applicata

基　　金：黑龙江省自然科学基金(A201305);北京市教委科研计划项目(KM201811417013)

摘　　要：在L^p(1<p<∞)空间中对第二类Fredholm积分方程提出了一种新的投影算法,对积分算子进行均值投影,给出了算法的先验估计和后验估计.数值算例进一步验证了算法的合理性和有效性.This paper gives a new projection method for the numerical solution of Fredholm integral equation of the second kind in L^p（1 p ∞） space. And discussed integral operator with mean projection. A priori estimate and a posteriori estimate are given in detail. Finally, two specific numerical examples are shown to demonstrate the rationality and availability of the proposed algorithm.

关 键 词：FREDHOLM积分方程 离散化方法 投影算子 

分 类 号：O177.91[理学—数学]