Application of He's methods to nonlinear chemistry problems

Authors:
D. D. Ganji;M. Nourollahi;E. Mohseni
Affiliations:
Mazandaran University, Department of Mechanical Engineering, P.O. Box 484, Babol, Iran;Mazandaran University, Department of Mechanical Engineering, P.O. Box 484, Babol, Iran;Mazandaran University, Department of Mechanical Engineering, P.O. Box 484, Babol, Iran
Venue:
Computers & Mathematics with Applications
Year:
2007

Citing 4
Cited 3

Variational iteration method for autonomous ordinary differential systems

Applied Mathematics and Computation
Homotopy perturbation method: a new nonlinear analytical technique

Applied Mathematics and Computation
The variational iteration method for rational solutions for KdV, K(2,2), Burgers, and cubic Boussinesq equations

Journal of Computational and Applied Mathematics
Numerical approach to differential equations of fractional order

Journal of Computational and Applied Mathematics

A new modification of the variational iteration method

Computers & Mathematics with Applications
VIM for solving the pollution problem of a system of lakes

Journal of Control Science and Engineering
Solutions of Nonlinear Chemistry Problems by Homotopy Analysis

Computational Mathematics and Modeling

Quantified Score

Hi-index	0.09

Visualization

Abstract

In this paper, He's variational iteration method (VIM) and homotopy perturbation method (HPM) are implemented for solving analytically two systems of ordinary differential equations that often appear in chemical applications. In both methods, the initial approximations can be freely chosen with possible unknown constants which can be determined by imposing the boundary and initial conditions. The solution procedure is of utter simplicity, and the obtained solution is of high accuracy.