ON A VARIATIONAL APPROACH TO NONLINEAR TWO-POINT BOUNDARY VALUE PROBLEMS

Afgan Aslanov; Afgan Aslanov

Research Article

ON A VARIATIONAL APPROACH TO NONLINEAR TWO-POINT BOUNDARY VALUE PROBLEMS

Year 2012, Volume: 5 Issue: 1-2, 63 - 67, 06.05.2015

Abstract

Bu makalenin esas amacı iki-noktalı sınır değer probleminin
çözümü için varyasyon iterasyon metodunu analiz etmektir.
Biz Wang'ın [Shu-Qjang Wang, A variational approach to
nonlinear two-point boundary value problems, Comput. Math.
Appl. 58 (2009) 2452-2455] iki-noktalı sınır değer problemi için
uyguladığı varyasyon yaklaşımının yanlışlarını gösteriyoruz.
Farklı yaklaşımlarla doğru çözümlerin nasıl bulunması
gerektiğini örneklerle gösteriyoruz.

Keywords

iki-noktalı sınır-değer problemi, yaklaşık çözüm, varyasyon metodu

ON A VARIATIONAL APPROACH TO NONLINEAR TWO-POINT BOUNDARY VALUE PROBLEMS

Year 2012, Volume: 5 Issue: 1-2, 63 - 67, 06.05.2015

Afgan Aslanov Afgan Aslanov

Abstract

The main purpose of this paper is to analyze the variational
iteration method for solving the two-point boundary value
problems. We show that Wang [Shu-Qjang Wang, A variational
approach to nonlinear two-point boundary value problems,
Comput. Math. Appl. 58 (2009) 2452-2455] demonstrated some
incorrect solutions for two-point boundary value problems
studied by means of the variational approach. We verify our
assertion by direct calculation and in addition, we represent the
correct results using different approaches.

Keywords

Two-point boundry value problem, approximate solution, methotds of variation

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Details

Primary Language	English
Subjects	Engineering
Journal Section	Articles
Authors	Afgan Aslanov This is me Afgan Aslanov This is me
Publication Date	May 6, 2015
Published in Issue	Year 2012 Volume: 5 Issue: 1-2

Cite

APA	Aslanov, A., & Aslanov, A. (2015). ON A VARIATIONAL APPROACH TO NONLINEAR TWO-POINT BOUNDARY VALUE PROBLEMS. Beykent Üniversitesi Fen Ve Mühendislik Bilimleri Dergisi, 5(1-2), 63-67.
AMA	Aslanov A, Aslanov A. ON A VARIATIONAL APPROACH TO NONLINEAR TWO-POINT BOUNDARY VALUE PROBLEMS. BUJSE. May 2015;5(1-2):63-67.
Chicago	Aslanov, Afgan, and Afgan Aslanov. “ON A VARIATIONAL APPROACH TO NONLINEAR TWO-POINT BOUNDARY VALUE PROBLEMS”. Beykent Üniversitesi Fen Ve Mühendislik Bilimleri Dergisi 5, no. 1-2 (May 2015): 63-67.
EndNote	Aslanov A, Aslanov A (May 1, 2015) ON A VARIATIONAL APPROACH TO NONLINEAR TWO-POINT BOUNDARY VALUE PROBLEMS. Beykent Üniversitesi Fen ve Mühendislik Bilimleri Dergisi 5 1-2 63–67.
IEEE	A. Aslanov and A. Aslanov, “ON A VARIATIONAL APPROACH TO NONLINEAR TWO-POINT BOUNDARY VALUE PROBLEMS”, BUJSE, vol. 5, no. 1-2, pp. 63–67, 2015.
ISNAD	Aslanov, Afgan - Aslanov, Afgan. “ON A VARIATIONAL APPROACH TO NONLINEAR TWO-POINT BOUNDARY VALUE PROBLEMS”. Beykent Üniversitesi Fen ve Mühendislik Bilimleri Dergisi 5/1-2 (May 2015), 63-67.
JAMA	Aslanov A, Aslanov A. ON A VARIATIONAL APPROACH TO NONLINEAR TWO-POINT BOUNDARY VALUE PROBLEMS. BUJSE. 2015;5:63–67.
MLA	Aslanov, Afgan and Afgan Aslanov. “ON A VARIATIONAL APPROACH TO NONLINEAR TWO-POINT BOUNDARY VALUE PROBLEMS”. Beykent Üniversitesi Fen Ve Mühendislik Bilimleri Dergisi, vol. 5, no. 1-2, 2015, pp. 63-67.
Vancouver	Aslanov A, Aslanov A. ON A VARIATIONAL APPROACH TO NONLINEAR TWO-POINT BOUNDARY VALUE PROBLEMS. BUJSE. 2015;5(1-2):63-7.