The variational iteration method: Reliable, efficient, and promising

The variational iteration method: Reliable, efficient, and promising

In the last few decades, considerable work has been invested in developing new methods for analytical and numerical solutions of differential and integral equations, linear or nonlinear. There has been a great deal of research work done to address the issues of nonlinearity and singularity phenomena that arise in many scientific and engineering problems. Moreover, there has been a great need fo...

The variational iteration method: A highly promising method for solving the system of integro-differential equations

This paper applies He’s variational iteration method for solving two systems of Volterra integro-differential equations. The solution process is illustrated and various physically relevant results are obtained. Comparison of the obtained results with exact solutions shows that the used method is an effective and highly promising method for various classes of both linear and nonlinear integro-di...

The variational iteration method for solving Nagumo telegraph equation

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...

The variational iteration method for Cauchy problems

In this paper, the variational iteration method is used to solve the Cauchy problem. Some examples are given to elucidate the solution procedure and reliability of the obtained results. The variational iteration algorithm leads to exact solutions in the present study. © 2010 Elsevier Ltd. All rights reserved.