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Computing the luminosity distance via optimal homotopy perturbation method
Physics of the Dark Universe ( IF 5.5 ) Pub Date : 2020-10-14 , DOI: 10.1016/j.dark.2020.100734
Bo Yu , Zi-Hua Wang , De-Zi Liu , Tong-Jie Zhang

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 Ωm.



中文翻译:

通过最佳同伦摄动法计算光度距离

我们提出了一种新的算法,该算法基于奇果列夫的同伦摄动方法,利用宇宙常数计算平整宇宙中的光度距离,该算法采用了优化思想来防止奇异列夫的同态性中初始值选择的任意性。与现有的一些数值方法相比,数值模拟结果表明,我们的算法是一种非常有前途且功能强大的计算光度距离的技术,对于给定的计算精度,计算效率和鲁棒性具有明显的优势。Ω

更新日期:2020-10-15
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