  In this paper, we investigate Bianchi type$-V$ cosmological models with bulk
viscous fluid and time varying cosmological $\Lambda$ and Newtonian $G$
parameters. The Einstein's field equations have been transformed into a
coupling non-linear,
  first-order differential equations, and the fourth-order Runge-Kutta method
of numerical integration has been used to integrate the differential equations
with appropriate initial conditions consistent with current cosmological
observations. We show that the model describes a universe that starts off with
a negative cosmological term, as well as a matter-dominated and decelerated
early epoch that, eventually becomes $\Lambda$-dominated and expanding with
acceleration, in concordance with current observations.
