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.
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