Convergence Order of the Reproducing Kernel Method for Solving Boundary Value Problems

被引：34
|
作者：
Zhao, Zhihong [1 ]
Lin, Yingzhen [1 ]
Niu, Jing [2 ]
机构：
[1] Beijing Inst Technol, Sch Sci, Zhuhai 519088, Peoples R China
[2] Harbin Normal Univ, Sch Math & Sci, Harbin 150025, Peoples R China
来源：
MATHEMATICAL MODELLING AND ANALYSIS | 2016年 / 21卷 / 04期
基金：
中国国家自然科学基金;
关键词：
reproducing kernel method; convergence analysis; boundary value problem; NUMERICAL-SOLUTION;
D O I：
10.3846/13926292.2016.1183240
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, convergence rate of the reproducing kernel method for solving boundary value problems is studied. The equivalence of two reproducing kernel spaces and some results of adjoint operator are proved. Based on the classical properties of piecewise linear interpolating function, we provide the convergence rate analysis of at least second order. Moreover, some numerical examples showing the accuracy of the proposed estimations are also given.
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页码：466 / 477
页数：12
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