A novel method for nonlinear singular fourth order four-point boundary value problems

X. Y. Li; B. Y. Wu

doi:10.1016/j.camwa.2011.04.029

A novel method for nonlinear singular fourth order four-point boundary value problems

X. Y. Li
, B. Y. Wu

School of Mathematics

Harbin Institute of Technology

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

22 Scopus citations

Abstract

In this paper, a novel method is proposed for solving nonlinear singular fourth order four-point boundary value problems (BVPs) by combining advantages of the homotopy perturbed method (HPM) and the reproducing kernel method (RKM). Some numerical examples are presented to illustrate the strength of the method.

Original language	English
Pages (from-to)	27-31
Number of pages	5
Journal	Computers and Mathematics with Applications
Volume	62
Issue number	1
DOIs	https://doi.org/10.1016/j.camwa.2011.04.029
State	Published - Jul 2011

Keywords

Homotopy perturbation method
Nonlinear
Reproducing kernel method
Singular fourth order four-point boundary value problems

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10.1016/j.camwa.2011.04.029

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title = "A novel method for nonlinear singular fourth order four-point boundary value problems",

abstract = "In this paper, a novel method is proposed for solving nonlinear singular fourth order four-point boundary value problems (BVPs) by combining advantages of the homotopy perturbed method (HPM) and the reproducing kernel method (RKM). Some numerical examples are presented to illustrate the strength of the method.",

keywords = "Homotopy perturbation method, Nonlinear, Reproducing kernel method, Singular fourth order four-point boundary value problems",

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AB - In this paper, a novel method is proposed for solving nonlinear singular fourth order four-point boundary value problems (BVPs) by combining advantages of the homotopy perturbed method (HPM) and the reproducing kernel method (RKM). Some numerical examples are presented to illustrate the strength of the method.

KW - Homotopy perturbation method

KW - Nonlinear

KW - Reproducing kernel method

KW - Singular fourth order four-point boundary value problems

UR - https://www.scopus.com/pages/publications/79959500498

U2 - 10.1016/j.camwa.2011.04.029

DO - 10.1016/j.camwa.2011.04.029

M3 - 文章

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SN - 0898-1221

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SP - 27

EP - 31

JO - Computers and Mathematics with Applications

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IS - 1

ER -

A novel method for nonlinear singular fourth order four-point boundary value problems

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Keywords

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