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

2013 ◽  
Vol 23 (3) ◽  
pp. 520-531 ◽  
Author(s):  
M. Matinfar ◽  
M. Ghasemi
Keyword(s):  
Heat Transfer ◽  
Iteration Method ◽  
Variational Iteration Method ◽  
Variational Iteration ◽  
He’S Polynomials ◽  
Nonlinear Heat Transfer ◽  
Transfer Equations

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.

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 Solitary and compacton solutions of fractional KdV-like equations

Open Physics ◽  
2016 ◽  
Vol 14 (1) ◽  
pp. 328-336 ◽  
Author(s):  
Bo Tang ◽  
Yingzhe Fan ◽  
Jianping Zhao ◽  
Xuemin Wang
Keyword(s):  
Partial Differential Equations ◽  
Differential Equations ◽  
Iteration Method ◽  
Variational Iteration Method ◽  
Fractional Partial Differential Equations ◽  
Partial Differential ◽  
Reliable Tool ◽  
Variational Iteration ◽  
He’S Polynomials ◽  
Liouville Derivative

AbstractIn this paper, based on Jumarie’s modified Riemann-Liouville derivative, we apply the fractional variational iteration method using He’s polynomials to obtain solitary and compacton solutions of fractional KdV-like equations. The results show that the proposed method provides a very effective and reliable tool for solving fractional KdV-like equations, and the method can also be extended to many other fractional partial differential equations.

Variational Iteration Method for the Hirota-Satsuma Model Using He’s Polynomials

2010 ◽  
Vol 65 (6-7) ◽  
pp. 525-528 ◽  
Author(s):  
Syed Tauseef Mohyud-Din ◽  
Ahmet Yildirim
Keyword(s):  
Applied Sciences ◽  
Iteration Method ◽  
Variational Iteration Method ◽  
Numerical Results ◽  
Variational Iteration ◽  
He’S Polynomials

This paper out lines the implementation of the variational iteration method using He’s polynomials (VMHP) for solving the Hirota-Satsuma model which occurs quite often in applied sciences. Numerical results show that the proposed VIMHP is quite efficient.

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