用最优同伦微扰法计算光度距离
Computing the luminosity distance via optimal homotopy perturbation method
摘要：
基于Shchigolev同伦微扰法，提出了一种计算具有宇宙学常数的平坦宇宙中光度距离的新算法.数值模拟结果表明，该算法在计算精度、计算效率和鲁棒性等方面具有明显的优势，是一种很有前途的光度距离计算方法。
英文摘要：
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 {Ω_m}.
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