An improved spectral homotopy analysis method for solving boundary layer problems

Boundary value problems

Sandile Sydney Motsa¹  Gerald T Marewo¹  Stanford Shateyi²  Precious Sibanda³ 

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

关键词: Falkner-Skan flow;    MHD flow;    improved spectral-homotopy analysis method;   

DOI  :  10.1186/1687-2770-2011-3

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

This article presents an improved spectral-homotopy analysis method (ISHAM) for solving nonlinear differential equations. The implementation of this new technique is shown by solving the Falkner-Skan and magnetohydrodynamic boundary layer problems. The results obtained are compared to numerical solutions in the literature and MATLAB's bvp4c solver. The results show that the ISHAM converges faster and gives accurate results.

【 授权许可】

CC BY