$\mathrm{\Lambda }$-CDM type Heckmann - Suchuking model and union 2.1 compilation

In this paper, we have investigated $\mathrm{\Lambda }$CDM type cosmological model in Heckmann-Schucking space-time, by using 287 high red shift ($ .3 \leq z \leq 1.4$ ) SN Ia data of observed absolute magnitude along with their possible error from Union 2.1 compilation. We have used ${\chi }^2$ test to compare Union 2.1 compilation observed data and corresponding theoretical values of apparent magnitude $(m)$. It is found that the best fit value for $({\mathrm{\Omega }}_m{)}_0$, $({\mathrm{\Omega }}_{\mathrm{\Lambda }}{)}_0$ and $({\mathrm{\Omega }}_{\sigma }{)}_0$ are $0.2940$, $0.7058$ and $0.0002$ respectively and the derived model represents the features of accelerating universe which is consistent with recent astrophysical observations.