A Note on the Solution of the Von Kármán Equations Using Series and Chebyshev Spectral Methods

Boundary value problems

SandileSydney Motsa¹  ZodwaG Makukula²  Precious Sibanda² 

[1] Department of Mathematics, University of Swaziland, Kwaluseni, Swaziland;School of Mathematical Sciences, University of KwaZulu-Natal, Scottsville, Pietermaritzburg, South Africa

关键词: Chebyshev Polynomial;    Collocation Point;    Homotopy Analysis Method;    Injection Velocity;    Uniform Suction;   

DOI  :  10.1155/2010/471793

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

The classical von Kármán equations governing the boundary layer flow induced by a rotating disk are solved using the spectral homotopy analysis method and a novel successive linearisation method. The methods combine nonperturbation techniques with the Chebyshev spectral collocation method, and this study seeks to show the accuracy and reliability of the two methods in finding solutions of nonlinear systems of equations. The rapid convergence of the methods is determined by comparing the current results with numerical results and previous results in the literature.

【 授权许可】

CC BY