An Algorithm for the Simulations of the Magnetized Neutron Star Cooling
H. Grigorian, A. Ayriyan, E. Chubarian, A. Piloyan, M. Rafayelyan
TL;DR
This paper introduces a new algorithm for simulating the cooling process of magnetized neutron stars, utilizing a specialized numerical method to solve complex differential equations.
Contribution
The paper presents a novel algorithm and difference scheme for modeling neutron star cooling, including preliminary simulation results.
Findings
Successful implementation of the Alternating Direction Implicit method for neutron star cooling simulations
Development of a difference scheme suitable for non-linear parabolic PDEs in astrophysics
Initial simulation results demonstrating the algorithm's effectiveness
Abstract
The model and algorithm for the cooling of the magnetized neutron stars are presented. The cooling evolution described by system of parabolic partial differential equations with non-linear coefficients is solved using Alternating Direction Implicit method. The difference scheme and the preliminary results of simulations are presented.
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