Assessment of Modified Variational Iteration Method in BVPs High-Order Differential Equations

The variational iteration method for a class of tenth-order boundary value differential equations

Variational iteration method for solving nth-order fuzzy integro-differential equations

In this paper, the variational iteration method for solving nth-order fuzzy integro differential equations (nth-FIDE) is proposed. In fact the problem is changed to the system of ordinary fuzzy integro-differential equations and then fuzzy solution of nth-FIDE is obtained. Some examples show the efficiency of the proposed method.

Modified Variational Iteration Method for Systems of partial Differential Equations

In this paper, we apply the Modified Variational Iteration Method (MVIM) for solving systems of partial differential equations. The proposed modification is made by introducing He’s polynomials in the correction functional of Variational Iteration Method (VIM). Several examples are given to verify the reliability and efficiency of the method. The fact that the MVIM solves nonlinear problems wit...

Fourth order integro-differential equations using variational iteration method

In this paper, the variational iteration method proposed by Ji-Huan He is applied to solve both linear and nonlinear boundary value problems for fourth order integro-differential equations. The numerical results obtained with minimum amount of computation are compared with the exact solutions to show the efficiency of the method. The results show that the variational iteration method is of high...

On solving ordinary differential equations of the first order by updating the Lagrange multiplier in variational iteration ‎method

In this paper, we have proposed a new iterative method for finding the solution of ordinary differential equations of the first order. In this method we have extended the idea of variational iteration method by changing the general Lagrange multiplier which is defined in the context of the variational iteration method.This causes the convergent rate of the method increased compared with the var...