Application of the Homotopy Analysis Method for Solving the Two-dimensional Steady-state Heat Conduction Problem

被引：2
|
作者：
Brociek, R. [1 ]
Hetmaniok, E. [1 ]
Slota, D. [1 ]
机构：
[1] Silesian Tech Univ, Inst Math, Kaszubska 23, PL-44100 Gliwice, Poland
来源：
APPLICATION OF MATHEMATICS IN TECHNICAL AND NATURAL SCIENCES (AMITANS '14) | 2014年 / 1629卷
关键词：
Homotopy analysis method; Poisson equation; Laplace equation; EQUATIONS;
D O I：
10.1063/1.4902302
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper we propose an application of the homotopy analysis method for solving the two-dimensional steady-state heat conduction problem. Discussed method is based on the concept of creating the function series. The paper presents the sufficient condition for convergence of this series and the error estimation of approximate solution obtained by using the partial sum of received series. Examples illustrating the usage of investigated method are also presented in the paper.
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页码：408 / 413
页数：6
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