  In this paper, we have investigated $\Lambda$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 $(\Omega_{m})_0$,
$(\Omega_{\Lambda})_0$ and $(\Omega_{\sigma})_0$ 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.
