The differential transformation method and Padé approximant for a form of Blasius equation. (English) Zbl 1290.65069

Peker, Haldun Alpaslan; Karaoğlu, Onur; Oturanç, Galip

Math. Comput. Appl. 16, No. 2, 507-513 (2011).

Summary: 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).

MSC:

65L99

Numerical methods for ordinary differential equations

Keywords:

Blasius equation; Padé approximants; differential transformation method (DTM); boundary layers