Approximate analytical solutions for nonlinear Emden-Fowler type equations by differential transform method

TL;DR

This paper demonstrates the effectiveness of the differential transform method (DTM) in deriving approximate analytical solutions for nonlinear Emden-Fowler equations, validated through comparisons with exact solutions.

Contribution

It introduces the application of DTM to nonlinear Emden-Fowler equations and shows its efficiency and accuracy through example comparisons.

Findings

DTM provides accurate approximate solutions

The method is efficient for nonlinear differential equations

Comparisons confirm the reliability of DTM

Abstract

In this paper, approximate analytical solutions of nonlinear Emden-Fowler type equations are obtained by the differential transform method (DTM). The DTM is a numerical as well as analytical method for solving integral equations, ordinary and partial diferential equations. To show the efficiency of the DTM, some examples are presented. Comparisons with exact solution show that the DTM is a powerful method for the solution of the nonlinear Emden-Fowler type equations.