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.
引用
收藏
页码：408 / 413
页数：6
相关论文
共 50 条
  • [1] Two-dimensional steady-state heat conduction problem for heat networks
    Nemirovsky, Y. V.
    Mozgova, A. S.
    4TH ALL-RUSSIAN SCIENTIFIC CONFERENCE THERMOPHYSICS AND PHYSICAL HYDRODYNAMICS WITH THE SCHOOL FOR YOUNG SCIENTISTS, 2019, 1359
  • [2] A STEADY-STATE HEAT CONDUCTION PROBLEM IN A COMPOSITE SOLID SQUARE TWO-DIMENSIONAL BODY
    Ecsedi, Istvan
    Baksa, Attila
    JOURNAL OF THEORETICAL AND APPLIED MECHANICS-BULGARIA, 2024, 54 (02): : 135 - 146
  • [3] Isogeometric Boundary Element Method for Two-Dimensional Steady-State Non-Homogeneous Heat Conduction Problem
    Li, Yongsong
    Yin, Xiaomeng
    Xu, Yanming
    CMES-COMPUTER MODELING IN ENGINEERING & SCIENCES, 2022, 132 (02): : 471 - 488
  • [4] Boundary reconstruction in two-dimensional steady-state anisotropic heat conduction
    Marin, Liviu
    Pantea, Andrei Tiberiu
    NUMERICAL ALGORITHMS, 2025, 98 (03) : 1195 - 1230
  • [5] COMPUTER MODELS FOR TWO-DIMENSIONAL STEADY-STATE HEAT CONDUCTION.
    Albert, M.R.
    Phetteplace, G.
    CRREL Report (US Army Cold Regions Research and Engineering Laboratory), 1983,
  • [6] Simulation of two-dimensional steady-state heat conduction problems by a fast singular boundary method
    Li, Weiwei
    Xu, Shaoqiang
    Shao, Mingyu
    ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS, 2019, 108 : 149 - 157
  • [7] An invariant method of fundamental solutions for two-dimensional steady-state anisotropic heat conduction problems
    Marin, Liviu
    INTERNATIONAL JOURNAL OF HEAT AND MASS TRANSFER, 2016, 94 : 449 - 464
  • [8] Transient and steady-state heat conduction analysis of two-dimensional functionally graded materials using particle method
    Sakurai, H.
    MATERIALS CHARACTERISATION IV: COMPUTATIONAL METHODS AND EXPERIMENTS, 2009, 64 : 45 - 54
  • [9] Solving the backward heat conduction problem by homotopy analysis method
    Liu, Jijun
    Wang, Bingxian
    APPLIED NUMERICAL MATHEMATICS, 2018, 128 : 84 - 97
  • [10] Boundary function method for boundary identification in two-dimensional steady-state nonlinear heat conduction problems
    Qiu, Lin
    Chen, Wen
    Wang, Fajie
    Liu, Chein-Shan
    Hu, Qingsong
    ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS, 2019, 103 : 101 - 108
12345