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. This universe has veiled many secrets for mankind. On exploring them mathematically several differential equations have been created.
Lane-Emden Equation (LEE) is among the most famous equations concerned with the study of stellar structure. The main purpose of this work
is to show the effectiveness of a numerical method named Successive Differentiation Method (SDM) which can obtain analytical solutions for nonlinear singular differential equations. To establish the claim, the nonlinear
singular boundary and initial value problem of Lane-Emden that governs
the polytropic and isothermal gas spheres is considered here. Different
illustrative types of Lane-Emden Equation have been solved numerically
in this paper and these numerical results are compared with the numerical
results of formerly solved numerical techniques. SDM proved to be the
easiest method not only in accuracy but also in tranquil implementation of
numerical techniques over the entire finite domain
Muhammad Khalid, Fareeha Sami Khan, Mariam Sultana. (2019) Elementary Analysis of Lane-Emden Equation by Successive Differentiation Method, Punjab University Journal of Mathematics, Volume 51, Issue 6.
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