A parallel code for multiprecision computations of the Lane-Emden differential equation

TL;DR

This paper presents a parallel computing approach to efficiently solve the multiprecision Lane-Emden differential equation, which models stellar structures, significantly reducing computation time for high-precision solutions.

Contribution

It introduces a parallel programming method tailored for multiprecision calculations of the Lane-Emden equation, enhancing computational efficiency.

Findings

Parallel implementation drastically reduces computation time.

Multiprecision solutions improve accuracy of stellar models.

Method enables feasible high-precision simulations.

Abstract

We compute multiprecision solutions of the Lane-Emden equation. This differential equation arises when introducing the well-known polytropic model into the equation of hydrostatic equilibrium for a nondistorted star. Since such multiprecision computations are time-consuming, we apply to this problem parallel programming techniques and thus the execution time of the computations is drastically reduced.