Reproducing kernel method for singular multi-point boundary value problems

Xiuying Li; Boying Wu

doi:10.1186/2251-7456-6-16

Reproducing kernel method for singular multi-point boundary value problems

Xiuying Li^*
, Boying Wu

^*Corresponding author for this work

School of Mathematics

Changshu Institute of Technology

Research output: Contribution to journal › Article › peer-review

10 Scopus citations

Abstract

Purpose: In this paper, we shall present an algorithm for solving more general singular second-order multi-point boundary value problems. Methods: The algorithm is based on the quasilinearization technique and the reproducing kernel method for linear multi-point boundary value problems. Results: Three numerical examples are given to demonstrate the efficiency of the present method. Conclusions: Obtained results show that the present method is quite efficient.

Original language	English
Article number	16
Journal	Mathematical Sciences
Volume	6
Issue number	1
DOIs	https://doi.org/10.1186/2251-7456-6-16
State	Published - Dec 2012

Keywords

Reproducing kernel method; Singular multi-point boundary value problem; Numerical solutions

Access to Document

10.1186/2251-7456-6-16

Cite this

@article{fb27a3bf07ce40e987e1f5b7a5485046,

title = "Reproducing kernel method for singular multi-point boundary value problems",

abstract = "Purpose: In this paper, we shall present an algorithm for solving more general singular second-order multi-point boundary value problems. Methods: The algorithm is based on the quasilinearization technique and the reproducing kernel method for linear multi-point boundary value problems. Results: Three numerical examples are given to demonstrate the efficiency of the present method. Conclusions: Obtained results show that the present method is quite efficient.",

keywords = "Reproducing kernel method; Singular multi-point boundary value problem; Numerical solutions",

author = "Xiuying Li and Boying Wu",

note = "Publisher Copyright: {\textcopyright} 2012, Li and Wu; licensee Springer.",

year = "2012",

month = dec,

doi = "10.1186/2251-7456-6-16",

language = "英语",

volume = "6",

journal = "Mathematical Sciences",

issn = "2008-1359",

publisher = "OICC Press",

number = "1",

}

TY - JOUR

T1 - Reproducing kernel method for singular multi-point boundary value problems

AU - Li, Xiuying

AU - Wu, Boying

PY - 2012/12

Y1 - 2012/12

N2 - Purpose: In this paper, we shall present an algorithm for solving more general singular second-order multi-point boundary value problems. Methods: The algorithm is based on the quasilinearization technique and the reproducing kernel method for linear multi-point boundary value problems. Results: Three numerical examples are given to demonstrate the efficiency of the present method. Conclusions: Obtained results show that the present method is quite efficient.

AB - Purpose: In this paper, we shall present an algorithm for solving more general singular second-order multi-point boundary value problems. Methods: The algorithm is based on the quasilinearization technique and the reproducing kernel method for linear multi-point boundary value problems. Results: Three numerical examples are given to demonstrate the efficiency of the present method. Conclusions: Obtained results show that the present method is quite efficient.

KW - Reproducing kernel method; Singular multi-point boundary value problem; Numerical solutions

UR - https://www.scopus.com/pages/publications/84942276535

U2 - 10.1186/2251-7456-6-16

DO - 10.1186/2251-7456-6-16

M3 - 文章

AN - SCOPUS:84942276535

SN - 2008-1359

VL - 6

JO - Mathematical Sciences

JF - Mathematical Sciences

IS - 1

M1 - 16

ER -

Reproducing kernel method for singular multi-point boundary value problems

Abstract

Keywords

Access to Document

Other files and links

Fingerprint

Cite this