scholarly journals Implementation of adomian polynomials in variational iteration method for solving volterra integral equations

2014 ◽  
Vol 2 (3) ◽  
Author(s):  
Zainab Ayati ◽  
Jafar Biazar ◽  
Sajedeh Zareii
Keyword(s):  
Integral Equations ◽  
Iteration Method ◽  
Variational Iteration Method ◽  
Volterra Integral Equations ◽  
Adomian Polynomials ◽  
Variational Iteration

A modified variational iteration method for solving fractional Riccati differential equation by Adomian polynomials

2013 ◽  
Vol 16 (1) ◽  
Author(s):  
Hossein Jafari ◽  
Hale Tajadodi ◽  
Dumitru Baleanu
Keyword(s):  
Differential Equation ◽  
Iteration Method ◽  
Variational Iteration Method ◽  
Approximate Solutions ◽  
Convergence Region ◽  
Riccati Differential Equation ◽  
Adomian Polynomials ◽  
Riccati Differential Equations ◽  
Variational Iteration ◽  
Modified Variational Iteration Method

AbstractIn this paper, we introduce a modified variational iteration method (MVIM) for solving Riccati differential equations. Also the fractional Riccati differential equation is solved by variational iteration method with considering Adomians polynomials for nonlinear terms. The main advantage of the MVIM is that it can enlarge the convergence region of iterative approximate solutions. Hence, the solutions obtained using the MVIM give good approximations for a larger interval. The numerical results show that the method is simple and effective.

Variational Iteration Method for Solving Integral Equations

2009 ◽  
Vol 9 (4) ◽  
pp. 799-800 ◽  
Author(s):  
S. Shakeri ◽  
R. Saadati ◽  
S.M. Vaezpour ◽  
J. Vahidi
Keyword(s):  
Integral Equations ◽  
Iteration Method ◽  
Variational Iteration Method ◽  
Variational Iteration
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