The variational iteration method was proposed by Ji-Huan He in later 1990s [1,2]. It has been caught much attention since 2007[3,4], when the method was systematically summarized and variational ...

In this paper, we consider two extended model equations for shallow water waves. We use He’s variational iteration method (VIM) to solve them. It is proved that this method is a very good tool for ...

ABSTRACT: In this paper, He’s variational iterative method has been applied to give exact solution of the Euler Lagrange equation which arises from the variational problems with moving boundaries and ...

Abstract: The variational iteration method (VIM) is one of the well‐known semi‐analytical methods for solving linear and nonlinear ordinary as well as partial differential equations. The main ...

This paper presents the analytical simulation of string with large amplitudes using the Variational Iteration Method (VIM) and Hamiltonian Approach (HA). In order to verify the precision of the ...

Abstract: This paper presents and studies a deterministic mathematical model of typhoid fever dynamics. We verified the uniqueness and the existence of the model's equations using the Lipchitz ...