A novel, multiscale and precise method was used to discuss the heat and mass transfer analysis for an unsteady nanofluid flow which is squeezed between two parallel plates. Similarity solution was utilized to reduce the governing partial differential equations down to a set of ordinary differential equations (ODEs) and then the obtained nonlinear equations solved by a new multiscale method. An operational matrix of integral was established for the precise connection of function and its derivatives. The effect of parameters including nanoparticle concentration, Prandtl number, Eckert number and squeeze number on the non-dimensional velocity and temperature profiles were studied. Results of simulations showed that change in squeeze number can affect the temperature profiles remarkably and its effect is more noticeable than nano particle volume fraction. Four different kinds of nanoparticles were utilized and their influence on the temperature profile, Nusselt number and skin friction coefficient was investigated. Obtained results are illustrated graphically and compared with several numerical and semi-analytical methods from the literature. The simulations achieved by the new multiscale scheme were found to be in excellent agreement with the fourth order Runge-Kutta method and could be extended to solve other highly nonlinear engineering problems. (C) 2018 Elsevier B.V. All rights reserved.