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NUMERICAL SOLUTION OF GENERALIZED EMDEN- FOWLER EQUATIONS BY SOME APPROXIMATION TECHNIQUES

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Nigerian Mathematical Society

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In this paper, we provide reliable approximations to the generalized Emden - Fowler equation using two semi -analytic methods; Adomian decomposition method and variational iteration method, and the recursive Tau method that employed Newton-Kantorovich approach. The three methods give very close results, with the semi - analytic methods giving results that agree completely with some existing results in the literature when certain parameters are fixed. The results are presented in both tabular and graphical forms.

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