Research Article Open Access

Approximate Analytical Solutions For Time-Dependent Emden-Fowler-Type Equations By Variational Iteration Method

Khaled Batiha1
  • 1 ,
American Journal of Applied Sciences
Volume 4 No. 7, 2007, 439-443

DOI: https://doi.org/10.3844/ajassp.2007.439.443

Submitted On: 19 February 2007 Published On: 31 July 2007

How to Cite: Batiha, K. (2007). Approximate Analytical Solutions For Time-Dependent Emden-Fowler-Type Equations By Variational Iteration Method . American Journal of Applied Sciences, 4(7), 439-443. https://doi.org/10.3844/ajassp.2007.439.443

Abstract

The main objective of the current study was to solve the time-dependent Emden-Fowler-type equation with singular behavior. The technique used here was called the variational iteration method (VIM). The advantage of this work is twofold. Firstly, the VIM reduces the computational work. Secondly, in comparison with existing techniques, the VIM is an improvement with regard to its accuracy and rapid convergence. The VIM has the advantage of being more concise for analytical and numerical purposes. To show the efficiency of the VIM, several examples are presented. Comparisons with exact solution show that the VIM is a powerful method for the solution of linear and nonlinear equations.

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Keywords

  • Variational iteration method
  • Emden-Fowler-type equations
  • Lagrange multiplier