Error estimation for the reproducing kernel method to solve linear boundary value problems

被引：77

作者：

Li, X. Y. ^{[1
]}

Wu, B. Y. ^{[2
]}

机构：

[1] Changshu Inst Technol, Dept Math, Suzhou 215500, Jiangsu, Peoples R China

[2] Harbin Inst Technol, Dept Math, Harbin 150001, Heilongjiang, Peoples R China

来源：

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | 2013年 / 243卷

基金：

美国国家科学基金会;

关键词：

Reproducing kernel method; Error estimation; Linear boundary value problems; EQUATIONS; SPACE;

D O I：

10.1016/j.cam.2012.11.002

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In the previous works, the authors presented the reproducing kernel method(RKM) for solving various boundary value problems. However, an effective error estimation for this method has not yet been discussed. The aim of this paper is to fill this gap. In this paper, we shall give the error estimation for the reproducing kernel method to solve linear boundary value problems. (C) 2012 Elsevier B.V. All rights reserved.

引用

页码：10 / 15

页数：6

共 14 条

[1]

Akram G., 2012, NUMER ALGORITHMS

[2] The exact solution of a class of Volterra integral equation with weakly singular kernel [J].

Chen, Zhong ;

Jiang, Wei .

APPLIED MATHEMATICS AND COMPUTATION, 2011, 217 (18) :7515-7519

[3] A computational method for solving third-order singularly perturbed boundary-value problems [J].

Cui, M. ;

Geng, F. .

APPLIED MATHEMATICS AND COMPUTATION, 2008, 198 (02) :896-903

[4]

Cui M., 2009, NONLINEAR NUMERICAL

[5] Solving singular two-point boundary value problem in reproducing kernel space [J].

Cui, Minggen ;

Geng, Fazhan .

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2007, 205 (01) :6-15

[6] A reproducing kernel method for solving nonlocal fractional boundary value problems [J].

Geng, Fazhan ;

Cui, Minggen .

APPLIED MATHEMATICS LETTERS, 2012, 25 (05) :818-823

[7] New method based on the HPM and RKHSM for solving forced Duffing equations with integral boundary conditions [J].

Geng, Fazhan ;

Cui, Minggen .

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2009, 233 (02) :165-172

[8] Solving a nonlinear system of second order boundary value problems [J].

Geng, Fazhan ;

Cui, Minggen .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2007, 327 (02) :1167-1181

[9] A novel method for nonlinear singular fourth order four-point boundary value problems [J].

Li, X. Y. ;

Wu, B. Y. .

COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2011, 62 (01) :27-31

[10] Solving the Reaction-Diffusion Equations with Nonlocal Boundary Conditions Based on Reproducing Kernel Space [J].

Lin, Yingzhen ;

Zhou, Yongfang .

NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS, 2009, 25 (06) :1468-1481

← 1 2 →