Numerical solution of non-linear Klein–Gordon equations by variational iteration method

2007 ◽  
Vol 70 (7) ◽  
pp. 876-881 ◽  
Author(s):  
Saeid Abbasbandy
Keyword(s):  
Numerical Solution ◽  
Iteration Method ◽  
Variational Iteration Method ◽  
Variational Iteration ◽  
Non Linear ◽  
Klein Gordon

Study of the dynamics of rotor-spun composite yarn spinning process in forced vibration

2011 ◽  
Vol 82 (3) ◽  
pp. 255-258 ◽  
Author(s):  
Naeem Faraz ◽  
Yasir Khan
Keyword(s):  
Forced Vibration ◽  
Iteration Method ◽  
Variational Iteration Method ◽  
Variational Iteration ◽  
Composite Yarn ◽  
Force Vibration ◽  
Non Linear ◽  
Spinning Process ◽  
Linear Force

The non-linear force vibration oscillator is established for the rotor-spun composite yarn spinning process. The variational iteration method is used to calculate the approximate oscillating periods in the vertical and horizontal directions. Thecondition for resonance is obtained.

Numerical solution of the general Volterra nth-order integro-differential equations via variational iteration method

2018 ◽  
Vol 13 (02) ◽  
pp. 2050042
Author(s):  
Fernane Khaireddine
Keyword(s):  
Differential Equations ◽  
Exact Solutions ◽  
Numerical Solution ◽  
General Formula ◽  
Iteration Method ◽  
Variational Iteration Method ◽  
Approximate Solutions ◽  
Numerical Examples ◽  
Variational Iteration ◽  
Linear And Nonlinear

In this paper, we use the variational iteration method (VIM) to construct approximate solutions for the general [Formula: see text]th-order integro-differential equations. We show that his method can be effectively and easily used to solve some classes of linear and nonlinear Volterra integro-differential equations. Finally, some numerical examples with exact solutions are given.

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