TY - JOUR
TI - An efficient spectral solution for unsteady boundary-layer flow and heat transfer due to a stretching sheet
AU - Mohammadi F
AU - Rashidi Mohammad Mehdi
JN - Thermal Science
PY - 2017
VL - 21
IS - 5
SP - 2167
EP - 2176
PT - Article
AB - In this paper, an efficient spectral collocation method based on the shifted Legendre polynomials is applied to study the unsteady boundary-layer flow and heat transfer due to a stretching sheet. A similarity transformation is used to reduce the governing unsteady boundary-layer equations to a system of non-linear ordinary differential equations. Then, the shifted Legendre polynomials and their operational matrix of derivative are used for producing an analytical approximate solution of this system of non-linear ordinary differential equations. The main advantage of the proposed method is that the need for guessing and correcting the initial values during the solution procedure is eliminated and a stable solution with good accuracy can be obtained by using the given boundary conditions in the problem. A very good agreement is observed between the obtained results by the proposed spectral collocation method and those of previously published ones.