The application of He's variational iteration method to nonlinear equations arising in heat transfer

2007 ◽  
Vol 363 (3) ◽  
pp. 213-217 ◽  
Author(s):  
Hafez Tari ◽  
D.D. Ganji ◽  
H. Babazadeh
Keyword(s):  
Heat Transfer ◽  
Nonlinear Equations ◽  
Iteration Method ◽  
Variational Iteration Method ◽  
Variational Iteration ◽  
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 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

scholarly journals The variational iteration method for solving n-th order fuzzy differential equations

Open Physics ◽  
2012 ◽  
Vol 10 (1) ◽  
Author(s):  
Hossein Jafari ◽  
Mohammad Saeidy ◽  
Dumitru Baleanu
Keyword(s):  
Differential Equations ◽  
Nonlinear Equations ◽  
Analytical Method ◽  
Iteration Method ◽  
Initial Conditions ◽  
Variational Iteration Method ◽  
Linear Differential Equations ◽  
Variational Iteration ◽  
Linear And Nonlinear ◽  
Linear Differential

AbstractThe variational iteration method (VIM) proposed by Ji-Huan He is a new analytical method for solving linear and nonlinear equations. In this paper, the variational iteration method has been applied in solving nth-order fuzzy linear differential equations with fuzzy initial conditions. This method is illustrated by solving several examples.

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