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.
作者
李博
王丽洁
王辉
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)
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)
