Open AccessEvaluation of Scipy.ode Integrators in Solving the Lane-Emden Equation for Polytropes as a Boundary Value Problem with a Fitting Method
Author(s) -
M. N. Anandaram
Publication year - 2017
Publication title -
mapana journal of sciences
Language(s) - English
Resource type - Journals
ISSN - 0975-3303
DOI - 10.12723/mjs.40.5
Subject(s) - ode , polytrope , mathematics , integrator , value (mathematics) , boundary value problem , mathematical analysis , radius , point (geometry) , physics , computer science , statistics , classical mechanics , geometry , polytropic process , computer security , quantum mechanics , voltage
The use of Scipy integrators like dopri5 and others in accurately solving the Lane-Emden equation of a polytrope as a two-point BVP with fitting is investigated by comparing the Emden radius with the extended precision reference value obtained by Boyd's Chebyshev spectral method. It is found that both dopri5 and dop853 integrators provide acceptable accuracy upto 14 decimal digits.