scholarly journals Chaos and Bifurcation of Control Feedback System Using Variational Iteration Method

2021 ◽  
Vol 10 (4) ◽  
pp. 86
Author(s):  
Evuiroro Edirin Judith ◽  
Ojarikre Henritta Ify
Keyword(s):  
Iteration Method ◽  
Variational Iteration Method ◽  
Feedback System ◽  
Variational Iteration ◽  
Control Feedback

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 Toward a modified variational iteration method

2007 ◽  
Vol 207 (1) ◽  
pp. 137-147 ◽  
Author(s):  
Tamer A. Abassy ◽  
Magdy A. El-Tawil ◽  
H. El Zoheiry
Keyword(s):  
Iteration Method ◽  
Variational Iteration Method ◽  
Variational Iteration ◽  
Modified Variational Iteration Method

scholarly journals Time- or Space-Dependent Coefficient Recovery in Parabolic Partial Differential Equation for Sensor Array in the Biological Computing

2015 ◽  
Vol 2015 ◽  
pp. 1-9 ◽  
Author(s):  
Guanglu Zhou ◽  
Boying Wu ◽  
Wen Ji ◽  
Seungmin Rho
Keyword(s):  
Differential Equation ◽  
Partial Differential Equation ◽  
Inverse Problem ◽  
Iteration Method ◽  
Numerical Experiments ◽  
Sensor Array ◽  
Variational Iteration Method ◽  
Parabolic Partial Differential Equation ◽  
Partial Differential ◽  
Variational Iteration

This study presents numerical schemes for solving a parabolic partial differential equation with a time- or space-dependent coefficient subject to an extra measurement. Through the extra measurement, the inverse problem is transformed into an equivalent nonlinear equation which is much simpler to handle. By the variational iteration method, we obtain the exact solution and the unknown coefficients. The results of numerical experiments and stable experiments imply that the variational iteration method is very suitable to solve these inverse problems.

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