In this paper, the variational iteration method (VIM) is applied to obtain approximate solutions of multi-order fractional differential equations (M-FDEs). We can easily obtain the satisfying solution just by using a few simple transformations and applying the VIM. A theorem for convergence and error estimates of the VIM for solving M-FDEs is given. Moreover, numerical results show that our the...

In this paper, a vaccination susceptible exposed infected recovered (VSEIR) model f o r tuberculosis in North Sumatera is discussed. The VSEIR model is formed by a system of nonlinear differential equations. The approximate solution of this model is obtained by using the step variational iteration method (SVIM) and variational iteration method (VIM). VIM used the general Lagrange multiplier in ...

We extend He’s variational iteration method VIM to find the approximate solutions for nonlinear differential-difference equation. Simple but typical examples are applied to illustrate the validity and great potential of the generalized variational iteration method in solving nonlinear differentialdifference equation. The results reveal that the method is very effective and simple. We find the e...

In this paper, we present a comparative analysis of non-reactive contaminant flow problem for constant initial concentration in two dimensions by homotopy-perturbation and Variational Iteration method. We provide an approximation of this equation using homotopy-perturbation transformation and solve the resulting linear equations analytically by homotopy-perturbation method (HPM) and Variational...

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...

In this paper, we apply the variational iteration method (VIM) for solving telegraph equations, which arise in the propagation of electrical signals along a telegraph line. The suggested algorithm is more efficient and easier to handle as compare to the decomposition method. Numerical results show the efficiency and accuracy of the proposed VIM.

In this paper, we apply the Variational Iteration Method (VIM) for solving evolution equations. The method proved to be fully compatible for the solution of such equations. The higher accuracy of the numerical results shows complete reliability and efficiency of the suggested algorithm. Several examples are given to re-confirm the reliability of the VIM.

We will consider variational iteration method VIM and Padé approximant, for finding analytical solutions of the Glauert-jet self-similar wall jet over an impermeable, resting plane surface problem. The solutions are compared with the exact solution. The results illustrate that VIM is an attractive method in solving the systems of nonlinear equations. It is predicted that VIM can have a found wi...

In this paper, solutions of a class of singular initial value problems (IVPs) in the second-order ordinary differential equations (ODEs) by variational iteration method (VIM) is presented. Comparisons with exact solution show that the VIM is a powerful method for the solution of linear and nonlinear equations. Mathematics Subject Classification: 65L05, 65L06, 35A15

In this paper, the variational iteration method (VIM) is applied for solving the fifth order Caudrey-Dodd-Gibbon (CDG) equation. We obtain the approximate solutions without unrealistic nonlinear assumptions , linearization, discretization or the calculation of Adomian's poly-nomials. Numerical results are presented to verify the efficiency of the VIM.