Application of He's variational iteration method to nonlinear heat transfer equations

2008 ◽  
Vol 372 (6) ◽  
pp. 779-785 ◽  
Author(s):  
Mo. Miansari ◽  
D.D. Ganji ◽  
Me. Miansari
Keyword(s):  
Heat Transfer ◽  
Iteration Method ◽  
Variational Iteration Method ◽  
Variational Iteration ◽  
Nonlinear Heat Transfer ◽  
Transfer Equations ◽  
He’S Variational Iteration Method

He's Variational Iteration Method

2017 ◽  
pp. 62-76
Keyword(s):  
Heat Transfer ◽  
Problem Solving ◽  
Iteration Method ◽  
Transfer Equation ◽  
Iterative Scheme ◽  
Variational Iteration Method ◽  
Heat Transfer Equation ◽  
Variational Iteration ◽  
Nonlinear Heat Transfer ◽  
He’S Variational Iteration Method

In this chapter, a variational iteration method (VIM) has been applied to nonlinear heat transfer equation. The concept of the variational iteration method is introduced briefly for applying this method for problem solving. The proposed iterative scheme finds the solution without any discretization, linearization, or restrictive assumptions. The results reveal that the VIM is very effective and convenient in predicting the solution of such problems.

scholarly journals A variational iteration method integral transform technique for handling heat transfer problems

2017 ◽  
Vol 21 (suppl. 1) ◽  
pp. 55-61 ◽  
Author(s):  
Yuejin Zhou ◽  
Shun Pang ◽  
Guo Chong ◽  
Xiaojun Yang ◽  
Xiaoding Xu ◽  
...  
Keyword(s):  
Heat Transfer ◽  
Iteration Method ◽  
Integral Transform ◽  
Variational Iteration Method ◽  
Approximate Solutions ◽  
Excess Temperature ◽  
Variational Iteration ◽  
Transfer Equations ◽  
Transfer Problems ◽  
Integral Transform Technique

In this paper, we consider the heat transfer equations at the low excess temperature. The variational iteration method integral transform technique is used to find the approximate solutions for the problems. The used method is accurate and efficient.

scholarly journals Application of He’s Variational Iteration Method to Nonlinear Integro-Differential Equations

2010 ◽  
Vol 65 (5) ◽  
pp. 418-430 ◽  
Author(s):  
Ahmet Yildirim
Keyword(s):  
Differential Equations ◽  
Iteration Method ◽  
Variational Iteration Method ◽  
Mathematical Tool ◽  
Variational Iteration ◽  
He’S Variational Iteration Method ◽  
Powerful Mathematical Tool

In this paper, an application of He’s variational iteration method is applied to solve nonlinear integro-differential equations. Some examples are given to illustrate the effectiveness of the method. The results show that the method provides a straightforward and powerful mathematical tool for solving various nonlinear integro-differential equations

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