scholarly journals Convergence of Variational Iteration Method for Second-Order Delay Differential Equations

2013 ◽  
Vol 2013 ◽  
pp. 1-9 ◽  
Author(s):  
Hongliang Liu ◽  
Aiguo Xiao ◽  
Lihong Su
Keyword(s):  
Differential Equations ◽  
Analytical Solutions ◽  
Iteration Method ◽  
Delay Differential Equations ◽  
Variational Iteration Method ◽  
Second Order ◽  
Effective Technique ◽  
Variational Iteration ◽  
Convergence Results ◽  
Delay Differential

This paper employs the variational iteration method to obtain analytical solutions of second-order delay differential equations. The corresponding convergence results are obtained, and an effective technique for choosing a reasonable Lagrange multiplier is designed in the solving process. Moreover, some illustrative examples are given to show the efficiency of this method.

Variational Iteration Method for Delay Differential Equations Using He’s Polynomials

2010 ◽  
Vol 65 (12) ◽  
pp. 1045-1048 ◽  
Author(s):  
Syed Tauseef Mohyud-Din ◽  
Ahmet Yildirim
Keyword(s):  
Applied Sciences ◽  
Signal Processing ◽  
Differential Equations ◽  
Iteration Method ◽  
Delay Differential Equations ◽  
Digital Images ◽  
Variational Iteration Method ◽  
Variational Iteration ◽  
He’S Polynomials ◽  
Delay Differential

January 21, 2010 In this paper, we apply the variational iteration method using He’s polynomials (VIMHP) for solving delay differential equations which are otherwise too difficult to solve. These equations arise very frequently in signal processing, digital images, physics, and applied sciences. Numerical results reveal the complete reliability and efficiency of the proposed combination.

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