THE VARIATIONAL HOMOTOPY PERTURBATION METHOD FOR ANALYTIC TREATMENT FOR LINEAR AND NONLINEAR ORDINARY DIFFERENTIAL EQUATIONS

THE VARIATIONAL HOMOTOPY PERTURBATION METHOD FOR ANALYTIC TREATMENT FOR LINEAR AND NONLINEAR ORDINARY DIFFERENTIAL EQUATIONS
THE VARIATIONAL HOMOTOPY PERTURBATION METHOD FOR ANALYTIC TREATMENT FOR LINEAR AND NONLINEAR ORDINARY DIFFERENTIAL EQUATIONS

ㆍ 저자명: Matinfar. Mashallah,Mahdavi. M.,Raeisi. Z.
ㆍ 간행물명: Journal of applied mathematics & informatics
ㆍ 권/호정보: 2010년|28권 3호|pp.845-862 (18 pages)
ㆍ 발행정보: 한국전산응용수학회
ㆍ 파일정보: 정기간행물|ENG|
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ㆍ 주제분야: 기타

이 논문은 한국과학기술정보연구원과 논문 연계를 통해 무료로 제공되는 원문입니다.

서지반출

기타언어초록

In a recent paper, M.A. Noor et al. (Hindawi publishing corporation, Mathematical Problems in Engineering, Volume 2008, Article ID 696734, 11 pages, doi:10.1155/2008/696734) proposed the variational homotopy perturbation method (VHPM) for solving higher dimentional initial boundary value problems. In this paper, we consider the proposed method for analytic treatment of the linear and nonlinear ordinary differential equations, homogeneous or inhomogeneous. The results reveal that the proposed method is very effective and simple and can be applied for other linear and nonlinear problems in mathematical.

키워드

Variational homotopy perturbation method Riccati equation Lagrange multiplier

다운URL