Conformable variational iteration method

Solving time-fractional chemical engineering equations by modified variational iteration method as fixed point iteration method

The variational iteration method(VIM) was extended to find approximate solutions of fractional chemical engineering equations. The Lagrange multipliers of the VIM were not identified explicitly. In this paper we improve the VIM by using concept of fixed point iteration method. Then this method was implemented for solving system of the time fractional chemical engineering equations. The ob...

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...

The variational iteration method for solving Nagumo telegraph equation

Variational Iteration Method for Solving Telegraph Equations

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.

Variational Iteration Method for Evolution Equations

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.