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

2012/11/15 by Birol Ibis, Ibis, Birol
Mathematics · Physics and Astronomy · #FOS: Physical sciences #Mathematical Physics (math-ph) #math-ph #math.MP

paper · pdf · doi:10.48550/arxiv.1211.3521

arxiv created 2012/11/15 · arxiv updated 2012/11/16

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.

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