Fluid Flow over a Flat Plate: An Analytical Revisit, Using Padé Approximant

Analytical methods have always been of interest to scientists in order to solve and investigate mathematical models of many physical problems. With the advent of computers, the roles of numerical methods have been prevailed. Recently, due to the enhancement of computers in symbolic mathematics, an increased attention is paid to developing and devising analytical methods. The Adomian decomposition method (ADM) is one of the recent developments. The capabilities and precision of the method are the subject of the present study which were attended to by investigating the Blasius problem. Also, the precision of the method is improved by employing the Padé approximantion. To best of our knowledge, this is the first time that by utilizing ADM, a very precise value for the Howarth number is obtained. The results of this study are compared to those of other methods, numerical or analytical, in the existing literature. The comparison suggests the advantage and competency of ADM.