Discrete and Continuous Models and Applied Computational ScienceDiscrete and Continuous Models and Applied Computational Science2658-46702658-7149Peoples' Friendship University of Russia named after Patrice Lumumba (RUDN University)2421710.22363/2658-4670-2020-28-2-120-130Research ArticleApplying Friedmann models to describe the evolution of the Universe based on data from the SAI Supernovae CatalogGavrikovArsenii S.<p>Student of the Institute of Physical Research and Technologies</p>gavrikov.997755@gmail.comSahaBijan<p>Doctor of Physical and Mathematical Sciences, assistant professor of the Institute of Physical Research and Technologies of Peoples’ Friendship University of Russia (RUDN University), leading researcher at the Laboratory of Information Technologies of The Joint Institute for Nuclear Research</p>bijan64@mail.ruRikhvitskyVictor S.<p>Master of physical and mathematical Sciences, Leading programmer of the Laboratory of Information Technologies</p>rqvtsk@mail.ruPeoples’ Friendship University of Russia (RUDN University)Joint Institute for Nuclear Research1512202028212013020072020Copyright © 2020, Gavrikov A.S., Saha В., Rikhvitsky V.S.2020<p>In the recent years thanks to the modern and sophisticated technologies the astronomers and astrophysicists were able to look deep into the Universe. This vast data poses some new problem to the cosmologists. One of the problems is to develop an adequate theory. Another one is to fit the theoretical results with the observational one. In this report within the scope of the isotropic and homogeneous Friedman-Lemaitre-Robertson-Walker (FLRW) cosmological model we study the evolution of the Universe filled with dust or cosmological constant. The reason to consider this model is the present universe surprisingly homogeneous and isotropic in large scale. We also compare our results with the data from the SAI Supernovae Catalog. Since the observational data are given in terms of Hubble constant (????) and redshift (????) we rewrite the corresponding equations as a functions of ????. 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