In this work, we employed both equilibrium and non-equilibrium mesoscale computer simulations of block copolymers in the explicit solvent. The dissipative dynamics method (DPD) was used with the non-equilibrium time dependent Lees-Edwards boundary conditions. We obtained dynamic shear storage (G′) and loss (G″) moduli for various ratios of the blocks length and polymer concentration. The behavior of a mix of triblock and diblock copolymers with different concentration of diblock was also investigated. We have observed formation of the polymer network with the diverse loop/bridge ratio. We have shown that reduction of relative length of the middle block leads to close association of the chains and causes the significant decrease in a number of the middle blocks participating in the polymer network because of the loop formation. This phenomenon manifests itself in reduction G′(ω) for low frequency region with comparison with the network with low loop/bridge ratio and ultimately leads to the principally different viscoelastic behavior of the system, where G′(ω) is proportional to ω showing an evident terminal zone. G′(ω) for the network with low loop/bridge ratio approaches the constant value. We obtained good agreement with other theoretical and experimental results. We extended this approach to predict viscoelastic properties of the block copolymer as function of polymer architecture and solvent selectivity.