The Differential Transformation Method and Pade Approximant for a Form of Blasius Equation

[摘要] Boundary conditions in an unbounded domain, i.e. boundary condition at infinity, pose a problem in general for the numerical solution methods. The aim of this study is to overcome this difficulty by using Padé approximation with the differential transform method (DTM) on a form of classical Blasius equation. The obtained results are compared with, for the first time, the ones obtained by using a modified form of Adomian decomposition method (ADM). Furthermore, in order to see the consistency of solutions, they are also compared with the ones obtained by using variational iteration method (VIM).

[学科分类] 计算数学

[关键词] Blasius equation;Padé Approximants;Differential Transformation Method (DTM);Boundary Layers