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

Mathematical and Computational Applications

Peker, Haldun Alpaslan¹ 

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

DOI  :  10.3390/mca16020507

学科分类：计算数学

来源: mdpi

【 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).

【 授权许可】

CC BY