The variational iteration method is widely used in approximate calculation. The main difficulty of the method is to identify the Lagrange multiplier, λ, for differential equations of fractional order, especially of high ...

The Adomian decomposition method is widely used in approximate calculation. The main difficulty of the method is to calculate Adomian polynomials, the procedure is very complex. In order to overcome the demerit, this paper ...

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 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 ...

In this paper, an effective algorithm which is a combination of the spectral collocation method and the parametric iteration method (PIM) is proposed for simulating the solution of the chaotic Genesio system (CGS). Comparison ...

In this paper, we develop an efficient explicit method based on the spectral

parametric iteration method and quasilinearization scheme, which can be used for

the efficient numerical solution of nonlinear ...

Abstract

In this paper, we apply a new modified homotopy perturbation method to find exact solutions for nonlinear integral equations. A

reliable modification of the homotopy perturbation method is proposed, ...

An adaptive spectral collocation method based on the parametric iteration method is
established for simulating the solution of nonlinear initial value problems of ordinary
differential equations. The implementation ...