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Solving Numerically Ermakov-Type Equation For Newtonian Cosmology Model With Vortex, Victor Christianto, Florentin Smarandache, Yunita Umniyati
Solving Numerically Ermakov-Type Equation For Newtonian Cosmology Model With Vortex, Victor Christianto, Florentin Smarandache, Yunita Umniyati
Branch Mathematics and Statistics Faculty and Staff Publications
It has been known for long time that most of the existing cosmology models have singularity problem. Cosmological singularity has been a consequence of excessive symmetry of flow, such as “Hubble’s law”. More realistic one is suggested, based on Newtonian cosmology model but here we include the vertical-rotational effect of the whole Universe. We review a Riccati-type equation obtained by Nurgaliev, and solve the equation numerically with Mathematica. It is our hope that the new proposed method can be verified with observation data.