Computing the luminosity distance via optimal homotopy perturbation method
Cosmology and Nongalactic Astrophysics
2021-01-13 v1
Abstract
We propose a new algorithm for computing the luminosity distance in the flat universe with a cosmological constant based on Shchigolev's homotopy perturbation method, where the optimization idea is applied to prevent the arbitrariness of initial value choice in Shchigolev's homotopy. Compared with the some existing numerical methods, the result of numerical simulation shows that our algorithm is a very promising and powerful technique for computing the luminosity distance, which has obvious advantages in computational accuracy,computing efficiency and robustness for a given {\Omega_m}.
Cite
@article{arxiv.2101.04110,
title = {Computing the luminosity distance via optimal homotopy perturbation method},
author = {Bo Yu and Zi-Hua Wang and De-Zi Liu and Tong-Jie Zhang},
journal= {arXiv preprint arXiv:2101.04110},
year = {2021}
}
Comments
14 pages, 6 figures, 1 table