The variational iteration method for studying the Klein–Gordon equation

The variational iteration method for solving Nagumo telegraph equation

the variational iteration method for solving nagumo telegraph equation

Application of He’s Variational Iteration Method to Abelian Differential Equation

In this paper, He’s variational iteration method (VIM) is used to obtain approximate analytical solutions of the Abelian differential equation. This method is based on Lagrange multipliers for identification of optimal values of parameters in a functional. Using this method creates a sequence which tends to the exact solution of problem. The method is capable of reducing the size of calculation...

Variational Method for Studying Solitons in the Korteweg-DeVries Equation

We use a variational method based on the principle of least action to obtain approximate time-dependent single soliton solutions to the KdV equation. A class of trial variational functions of the form u(x, t) = −A(t) exp [ −β(t) |x− q(t)| ] , with n a continuous real variable, is used to parametrize timedependent solutions. We find that this class of trial functions leads to soliton-like soluti...

Solving the Fisher’s Equation by Means of Variational Iteration Method

In this paper, we consider variational iteration method (VIM) to obtain exact solution to the Fisher’s equation. The variational iteration method is based on Lagrange multipliers for identification of optimal value of parameters in a functional. Using this method, it is possible to find the exact solution or an approximate solution of the problem.