Optimal Perturbation Iteration Method for solving Nonlinear Heat Transfer Equations
Optimal Perturbation Iteration Method for solving Nonlinear Heat Transfer Equations
复制标题
求解非线性传热方程的最优摄动迭代法
DOI：
10.1115/1.4036085
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发表时间：
2017
影响因子：
--
通讯作者：
S. Deniz
中科院分区：
文献类型：
--
作者：
S. Deniz
本文介绍了一种新的最优摄动迭代法（OPIM），并将其应用于求解传热学中的非线性微分方程。所提出的方法的有效性将通过考虑两个具体的应用程序进行测试：在一个厚的矩形翅片辐射到自由空间和冷却的集总系统与可变比热的温度分布方程。比较不同的方法表明，最优摄动迭代法得到的结果与数值解很好地吻合，性能优于大多数现有的解析方法。
In this paper, the new optimal perturbation iteration method (OPIM) is introduced and applied for solving nonlinear differential equations arising in heat transfer. The effectiveness of the proposed method will be tested by considering two specific applications: the temperature distribution equation in a thick rectangular fin radiation to free space and cooling of a lumped system with variable specific heat. Comparing different methods shows that the results obtained by optimal perturbation iteration method are very good agreement with the numerical solutions and perform better than the most existing analytic methods.