Determining An Unknown Boundary Condition by An Iteration Method

被引：0
|
作者：
Huang, Dejian [1 ,2 ]
Li, Yanqing [1 ,2 ]
Pei, Donghe [1 ]
机构：
[1] Northeast Normal Univ, Sch Math & Stat, Changchun 130024, Jilin, Peoples R China
[2] Hainan Trop Ocean Univ, Sch Sci, Sanya 572022, Peoples R China
来源：
SYMMETRY-BASEL | 2018年 / 10卷 / 09期
基金：
中国国家自然科学基金;
关键词：
variational iteration method; heat conduction equation; initial and boundary condition; ELEMENT METHOD; HEAT;
D O I：
10.3390/sym10090409
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：
This paper investigates the boundary value in the heat conduction problem by a variational iteration method. Applying the iteration method, a sequence of convergent functions is constructed, the limit approximates the exact solution of the heat conduction equation in a few iterations using only the initial condition. This method does not require discretization of the variables. Numerical results show that this method is quite simple and straightforward for models that are currently under research.
引用
收藏
页数：7
相关论文
共 50 条
  • [31] Uniqueness for the determination of unknown boundary and impedance with the homogeneous Robin condition
    Bacchelli, Valeria
    INVERSE PROBLEMS, 2009, 25 (01)
  • [32] NATURAL ITERATION METHOD AND BOUNDARY FREE-ENERGY
    KIKUCHI, R
    JOURNAL OF CHEMICAL PHYSICS, 1976, 65 (11): : 4545 - 4553
  • [33] SHAPE OPTIMIZATION METHODS FOR DETECTING AN UNKNOWN BOUNDARY WITH THE ROBIN CONDITION BY A SINGLE BOUNDARY MEASUREMENT
    Afraites, Lekbir
    Rabago, Julius Fergy T.
    DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES S, 2025, 18 (01): : 43 - 76
  • [34] A FETI method with a mesh independent condition number for the iteration matrix
    Bernardi, C.
    Rebollo, T. Chacon
    Vera, E. Chacon
    COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 2008, 197 (13-16) : 1410 - 1429
  • [35] Personal computer aided inverse finite element analysis (an efficient identification method of unknown boundary condition by penalty function method)
    Asano, Naoki
    Nippon Kikai Gakkai Ronbunshu, A Hen/Transactions of the Japan Society of Mechanical Engineers, Part A, 1996, 62 (593): : 261 - 268
  • [36] An implicit immersed boundary method for Robin boundary condition
    Wu, Buchen
    Shu, Chang
    Wan, Minping
    INTERNATIONAL JOURNAL OF MECHANICAL SCIENCES, 2024, 261
  • [37] Safe tracking control based on a secure boundary protection method for nonlinear systems with unknown initial tracking condition
    Zou, Songnan
    Li, Xiaohua
    Liu, Yang
    INTERNATIONAL JOURNAL OF SYSTEMS SCIENCE, 2024, 55 (08) : 1655 - 1672
  • [38] On a Generalization of the Extended Boundary Condition Method
    Eremin, Yu A.
    Skobelev, S. P.
    JOURNAL OF COMMUNICATIONS TECHNOLOGY AND ELECTRONICS, 2011, 56 (11) : 1305 - 1310
  • [39] On the applicability of the extended boundary condition method
    V. G. Farafonov
    V. B. Il’in
    E. G. Semenova
    V. I. Ustimov
    Optics and Spectroscopy, 2015, 118 : 163 - 165
  • [40] On the applicability of the extended boundary condition method
    Farafonov, V. G.
    Il'in, V. B.
    Semenova, E. G.
    Ustimov, V. I.
    OPTICS AND SPECTROSCOPY, 2015, 118 (01) : 163 - 165
12345