In this paper, we use a technique for solving integral equations which

is based on He’s variational iteration method. In this approach, at first,

we turn the given integral equation to the integro-differential equation

and next...

This paper deals with a new proof of convergence of He’s variational iteration method applied to nonlinear oscillators. One example is given to verify convergence hypothesis and to illustrate the efficiency and simplicity of the method....

The piecewise variational iteration method (VIM) for solving Riccati differential equations (RDEs) provides a solution as a sequence of iterates. Therefore, its application to RDEs leads to the calculation of terms that are not needed and more time...

In this paper, an explicit analytical method called the variational iteration method is presented for solving the second-order singular initial value problems of the Lane-Emden type. In addition, the local convergence of the method is discussed...

In this paper, an efficient numerical method which is a combination of the variational iteration method and the spectral collocation method is developed for solving a class of nonlinear Fredholm integral equations (NFIEs). This method is easy...

In the current paper, we introduce a different version of the variational iteration method (VIM) that provide an easy and effective procedure for solving nonlinear two-point boundary-value problems appearing in applied and engineering applications...

Abstract. This paper presents an analytical approximate solution for

nonlinear Hamilton-Jacobi-Bellman (HJB) equation. The proposed method

involves the well-known Variational Iteration Method (VIM), for solving

the HJB equation...

This paper presents an analytical approximate solution for nonlinear

quadratic Optimal Control Problems (OCP’s). The proposed method

consists of a modified Variational Iteration Method (VIM), for solving

the extreme conditions...