Bezier curves method for fourth-order integrodifferential equations
The Bezier curves method is applied to solve both linear and nonlinear BVPs for fourth-order integrodifferential equations. Also, the presented method is developed for solving BVPs which arise from the problems in calculus of variation. These BVPs result from the Euler-Lagrange equations which are t...
Main Authors: | , , |
---|---|
Format: | Article |
Language: | English |
Published: |
Hindawi Publishing Corporation
2013
|
Online Access: | http://psasir.upm.edu.my/id/eprint/30271/1/30271.pdf |
_version_ | 1796971707562459136 |
---|---|
author | Ghomanjani, Fateme Kamyad, Ali Vahidian Kilicman, Adem |
author_facet | Ghomanjani, Fateme Kamyad, Ali Vahidian Kilicman, Adem |
author_sort | Ghomanjani, Fateme |
collection | UPM |
description | The Bezier curves method is applied to solve both linear and nonlinear BVPs for fourth-order integrodifferential equations. Also, the presented method is developed for solving BVPs which arise from the problems in calculus of variation. These BVPs result from the Euler-Lagrange equations which are the necessary conditions of the extremums of problems in calculus of variation. Some numerical examples demonstrate the validity and applicability of the technique. |
first_indexed | 2024-03-06T08:17:00Z |
format | Article |
id | upm.eprints-30271 |
institution | Universiti Putra Malaysia |
language | English |
last_indexed | 2024-03-06T08:17:00Z |
publishDate | 2013 |
publisher | Hindawi Publishing Corporation |
record_format | dspace |
spelling | upm.eprints-302712017-10-19T08:13:58Z http://psasir.upm.edu.my/id/eprint/30271/ Bezier curves method for fourth-order integrodifferential equations Ghomanjani, Fateme Kamyad, Ali Vahidian Kilicman, Adem The Bezier curves method is applied to solve both linear and nonlinear BVPs for fourth-order integrodifferential equations. Also, the presented method is developed for solving BVPs which arise from the problems in calculus of variation. These BVPs result from the Euler-Lagrange equations which are the necessary conditions of the extremums of problems in calculus of variation. Some numerical examples demonstrate the validity and applicability of the technique. Hindawi Publishing Corporation 2013 Article PeerReviewed application/pdf en http://psasir.upm.edu.my/id/eprint/30271/1/30271.pdf Ghomanjani, Fateme and Kamyad, Ali Vahidian and Kilicman, Adem (2013) Bezier curves method for fourth-order integrodifferential equations. Abstract and Applied Analysis, 2013. art. no. 672058. pp. 1-5. ISSN 1085-3375; ESSN: 1687-0409 https://www.hindawi.com/journals/aaa/2013/672058/abs/ 10.1155/2013/672058 |
spellingShingle | Ghomanjani, Fateme Kamyad, Ali Vahidian Kilicman, Adem Bezier curves method for fourth-order integrodifferential equations |
title | Bezier curves method for fourth-order integrodifferential equations |
title_full | Bezier curves method for fourth-order integrodifferential equations |
title_fullStr | Bezier curves method for fourth-order integrodifferential equations |
title_full_unstemmed | Bezier curves method for fourth-order integrodifferential equations |
title_short | Bezier curves method for fourth-order integrodifferential equations |
title_sort | bezier curves method for fourth order integrodifferential equations |
url | http://psasir.upm.edu.my/id/eprint/30271/1/30271.pdf |
work_keys_str_mv | AT ghomanjanifateme beziercurvesmethodforfourthorderintegrodifferentialequations AT kamyadalivahidian beziercurvesmethodforfourthorderintegrodifferentialequations AT kilicmanadem beziercurvesmethodforfourthorderintegrodifferentialequations |