... goal of the present study is to find the approximate analytic solutions by the combination of the DTM and the Padé approximants for this problem. Design/methodology/approach A new method, namely the DTM‐Padé technique, which is a combination of the differential transform method and the Padé...

... are transformed into dimensionless nonlinear ordinary differential equations by similarity transformation. Analytical technique, namely the homotopy perturbation method (HPM) combining with Padé approximants and finite difference method, are used to solve dimensionless non‐linear ordinary differential equations...