Approximate analytical solutions for some obstacle problems

被引：1
|
作者：
Chamekh, Mourad [1 ,2 ]
Latrach, Mohamed Ali [2 ]
Elzaki, Tarig M. [1 ]
机构：
[1] Univ Jeddah, Coll Sci & Arts, Math Dept, Alkamel, Saudi Arabia
[2] Univ Tunis El Manar, Natl Engn Sch Tunis, LAMSIN, BP 37, Tunis 1002, Tunisia
来源：
JOURNAL OF KING SAUD UNIVERSITY SCIENCE | 2021年 / 33卷 / 02期
关键词：
Obstacle problems; Penalty function method; Variational Iteration Method;
D O I：
10.1016/j.jksus.2020.101259
中图分类号：
O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];
学科分类号：
07 ; 0710 ; 09 ;
摘要：
The paper deals with the variational iteration method to obtain a semi-analytical solution to some obstacle problems. We will focus on applications of a contact problem for a deformed beam with an elastic obstacle. To validate the accuracy this approach,the obtained solution has been compared with the exact solution, in the case where it can be calculated in the closed-form expression. Otherwise, a comparison of variational iteration method with the Adomian decomposition method for some nonlinear examples has been used. (C) 2020 Published by Elsevier B.V. on behalf of King Saud University. This is an open access article under the CC BY-NC-ND license (http://creativecommons.org/licenses/by-nc-nd/4.0/).
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