He’s variational iteration method for solving linear and non-linear systems of ordinary differential equations

2007 ◽  
Vol 191 (1) ◽  
pp. 287-297 ◽  
Author(s):  
J. Biazar ◽  
H. Ghazvini
Keyword(s):  
Differential Equations ◽  
Ordinary Differential Equations ◽  
Linear Systems ◽  
Iteration Method ◽  
Variational Iteration Method ◽  
Variational Iteration ◽  
Non Linear ◽  
Non Linear Systems ◽  
He’S Variational Iteration Method

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

On the Reconstruction of the First Term in the Variational Iteration Method for Solving Differential Equations

2010 ◽  
Vol 65 (3) ◽  
pp. 203-208 ◽  
Author(s):  
Mehdi Tatari ◽  
Mehdi Dehghan
Keyword(s):  
Nonlinear System ◽  
Differential Equations ◽  
Nonlinear Problem ◽  
Iteration Method ◽  
Variational Iteration Method ◽  
System Of Equations ◽  
Nonlinear System Of Equations ◽  
Variational Iteration ◽  
Initial Term ◽  
He’S Variational Iteration Method

The well-known He’s variational iteration method is an efficient and easy technique for finding the solution of various kinds of problems. In this method the solution of a nonlinear problem is found without any need to solve a linear or nonlinear system of equations. In the current work we present an idea for accelerating the convergence of the resulted sequence to the solution of the problem by choosing a suitable initial term. The efficiency of the method will be shown by testing the new algorithm on several examples.

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