Piecewise linear emulator of the Lane-Emden equation

Authors

Deborah Anne Lumantas ⋅ PH National Institute of Physics, University of the Philippines Diliman
Jose Perico Esguerra ⋅ PH National Institute of Physics, University of the Philippines Diliman

Abstract

Approximate solutions to the Lane-Emden equation for polytropes are obtained by using a piecewise linear emulator. The validity of the approximation was also examined. The zeros of the solution were then compared to the theoretical zeros as presented by Chandrasekhar. Moreover, deviation from the expected value increases with increasing n.

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Issue

2011: Proceedings of the 29th Samahang Pisika ng Pilipinas National Physics Congress

Celebrating new ideas in physics
24-26 October 2011, University of the Philippines Diliman, Quezon City

Article ID

SPP2011-PB-32

Section

Poster Session PB

Published

2011-10-24

How to Cite

[1]

DA Lumantas and JP Esguerra, Piecewise linear emulator of the Lane-Emden equation, Proceedings of the Samahang Pisika ng Pilipinas 29, SPP2011-PB-32 (2011). URL: https://proceedings.spp-online.org/article/view/SPP2011-PB-32.