Analytical solutions to nonlinear equations arising in heat transfer by variational iteration, homotopy perturbation, and adomian decomposition methods

Ganji D.D.; Gorji M.; Alipanah M.; Farnad E.

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Analytical solutions to nonlinear equations arising in heat transfer by variational iteration, homotopy perturbation, and adomian decomposition methods

机译：通过变分迭代，同伦摄动和阿德曼分解方法求解传热中产生的非线性方程的解析解

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As thermal conductivity plays an important role on fin efficiency, we tried to solve heat transfer equation with thermal conductivity as a function of temperature. In this research, some new analytical methods called homotopy perturbation method, variational iteration method, and Adomian decomposition method are introduced to be applied to solve the nonlinear heat transfer equations, and also the comparison of the applied methods (together) is shown graphically.

机译：由于导热系数对散热片效率起着重要作用，因此我们尝试用导热系数作为温度的函数来求解传热方程。在这项研究中，介绍了一些新的分析方法，称为同伦摄动法，变分迭代法和阿多姆分解法，用于求解非线性传热方程，并且以图形方式显示了所应用方法的比较（一起）。

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《Numerical Methods for Partial Differential Equations: An International Journal》 |2010年第6期|共13页
作者
Ganji D.D.; Gorji M.; Alipanah M.; Farnad E.;
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正文语种 eng
中图分类数值分析;
关键词
Adomian decomposition method (ADM); Cylindrical fin; Heat transfer; Homotopy perturbation method (HPM); Variational iteration method (VIM);

机译：阿曼分解法（ADM）;圆柱鳍;传热;同伦摄动法（HPM）;变分迭代法（VIM）;

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专利

1. Analytical solutions to nonlinear equations arising in heat transfer by variational iteration, homotopy perturbation, and adomian decomposition methods [J] . Ganji D.D., Gorji M., Alipanah M., Numerical Methods for Partial Differential Equations: An International Journal . 2010,第6期

机译：通过变分迭代，同伦摄动和阿德曼分解方法求解传热中产生的非线性方程的解析解
2. An Approximate Analytical Solution of the Nonlinear Schrödinger Equation with Harmonic Oscillator Using Homotopy Perturbation Method and Laplace-Adomian Decomposition Method [J] . Emad K. Jaradat, Omar Alomari, Mohammad Abudayah, Advances in Mathematical Physics . 2018,第1期

机译：含谐振荡器的非线性Schrödinger方程的同伦摄动和Laplace-Adomian分解方法的近似解析解
3. An Approximate Analytical Solution of the Nonlinear Schr?dinger Equation with Harmonic Oscillator Using Homotopy Perturbation Method and Laplace-Adomian Decomposition Method [J] . Emad K. Jaradat, Omar Alomari, Mohammad Abudayah, Advances in Mathematical Physics . 2018,第Pta2期

机译：非线性SCHR的近似分析解决方案与谐波振荡器使用同谐扰动法和拉普拉斯 - Adomian分解方法
4. Application of He's variational iteration method and Adomian decomposition method to solution for the fifth order Caudrey-Dodd-Gibbon (CDG) equation [C] . Mehdi Safari Applied Mathematics and Informatics . 2010

机译：应用He变分迭代法和Adomian分解法求解五阶Caudrey-Dodd-Gibbon（CDG）方程
5. Analytical and numerical solutions of differential equations arising in fluid flow and heat transfer problems. [D] . Sweet, Erik. 2009

机译：在流体流动和传热问题中产生的微分方程的解析和数值解。
6. An approximate analytical solution of the Allen-Cahn equation using homotopy perturbation method and homotopy analysis method [O] . Safdar Hussain, Abdullah Shah, Sana Ayub, 2019

机译：同伦摄动法和同伦分析法对Allen-Cahn方程的近似解析解
7. A Comparison between the Modified Homotopy Perturbation Method and Adomian Decomposition Method for Solving Nonlinear Heat Transfer Equations [O] . Sazzad Hossien Chowdhury 2011

机译：用于求解非线性传热方程的改性同型扰动方法和adomian分解方法的比较

Analytical solutions to nonlinear equations arising in heat transfer by variational iteration, homotopy perturbation, and adomian decomposition methods

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