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On the solutions of three-point boundary value problems using variational-fixed point iteration method

Given a three-point fourth-order boundary value problems y(iv) + p(x)y’’’ + r(x)y’ + s(x)y = f(x), a ≤ x ≤ b such that y(a) = y(b) = y’’(b) = y’’(α) = 0, a ≤ α ≤ b; where p, q, r, s, f ϵ C [a, b] , we combine the application of variational iteration method and fixed point iteration process to constr...

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Main Authors: Kilicman, Adem, Wadai, Mutah
Format: Article
Language:English
Published: Springer 2016
Online Access:http://psasir.upm.edu.my/id/eprint/51922/1/51922.pdf
http://psasir.upm.edu.my/id/eprint/51922/
http://rd.springer.com/article/10.1007/s40096-016-0175-z
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spelling my.upm.eprints.519222017-05-03T04:28:46Z http://psasir.upm.edu.my/id/eprint/51922/ On the solutions of three-point boundary value problems using variational-fixed point iteration method Kilicman, Adem Wadai, Mutah Given a three-point fourth-order boundary value problems y(iv) + p(x)y’’’ + r(x)y’ + s(x)y = f(x), a ≤ x ≤ b such that y(a) = y(b) = y’’(b) = y’’(α) = 0, a ≤ α ≤ b; where p, q, r, s, f ϵ C [a, b] , we combine the application of variational iteration method and fixed point iteration process to construct an iterative scheme called variational-fixed point iteration method that approximates the solution of three-point boundary value problems. The success of the variational or weighted residual method of approximation from a practical point of view depends on the suitable selection of the basis function. The method is self correcting one and leads to fast convergence. Problems were experimented to show the effectiveness and accuracy of the proposed method. Springer 2016 Article PeerReviewed application/pdf en http://psasir.upm.edu.my/id/eprint/51922/1/51922.pdf Kilicman, Adem and Wadai, Mutah (2016) On the solutions of three-point boundary value problems using variational-fixed point iteration method. Mathematical Sciences, 10 (1). pp. 33-40. ISSN 2008-1359; ESSN: 2251-7456 http://rd.springer.com/article/10.1007/s40096-016-0175-z 10.1007/s40096-016-0175-z
institution Universiti Putra Malaysia
building UPM Library
collection Institutional Repository
continent Asia
country Malaysia
content_provider Universiti Putra Malaysia
content_source UPM Institutional Repository
url_provider http://psasir.upm.edu.my/
language English
description Given a three-point fourth-order boundary value problems y(iv) + p(x)y’’’ + r(x)y’ + s(x)y = f(x), a ≤ x ≤ b such that y(a) = y(b) = y’’(b) = y’’(α) = 0, a ≤ α ≤ b; where p, q, r, s, f ϵ C [a, b] , we combine the application of variational iteration method and fixed point iteration process to construct an iterative scheme called variational-fixed point iteration method that approximates the solution of three-point boundary value problems. The success of the variational or weighted residual method of approximation from a practical point of view depends on the suitable selection of the basis function. The method is self correcting one and leads to fast convergence. Problems were experimented to show the effectiveness and accuracy of the proposed method.
format Article
author Kilicman, Adem
Wadai, Mutah
spellingShingle Kilicman, Adem
Wadai, Mutah
On the solutions of three-point boundary value problems using variational-fixed point iteration method
author_facet Kilicman, Adem
Wadai, Mutah
author_sort Kilicman, Adem
title On the solutions of three-point boundary value problems using variational-fixed point iteration method
title_short On the solutions of three-point boundary value problems using variational-fixed point iteration method
title_full On the solutions of three-point boundary value problems using variational-fixed point iteration method
title_fullStr On the solutions of three-point boundary value problems using variational-fixed point iteration method
title_full_unstemmed On the solutions of three-point boundary value problems using variational-fixed point iteration method
title_sort on the solutions of three-point boundary value problems using variational-fixed point iteration method
publisher Springer
publishDate 2016
url http://psasir.upm.edu.my/id/eprint/51922/1/51922.pdf
http://psasir.upm.edu.my/id/eprint/51922/
http://rd.springer.com/article/10.1007/s40096-016-0175-z
_version_ 1643835096072978432
score 13.244414

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