An improved spectral homotopy analysis method for solving boundary layer problems

被引：11

作者：

Motsa, Sandile Sydney ^{[2
]}

Marewo, Gerald T. ^{[2
]}

Sibanda, Precious ^{[3
]}

Shateyi, Stanford ^{[1
]}

机构：

[1] Univ Venda, Dept Math, ZA-0950 Thohoyandou, South Africa

[2] Univ Swaziland, Dept Math, Kwaluseni, Swaziland

[3] Univ KwaZulu Natal, Sch Math Sci, ZA-3209 Pietermaritzburg, South Africa

来源：

BOUNDARY VALUE PROBLEMS | 2011年

基金：

新加坡国家研究基金会;

关键词：

Falkner-Skan flow; MHD flow; improved spectral-homotopy analysis method; CONSTANT WALL TEMPERATURE; FALKNER-SKAN EQUATION; NUMERICAL-SOLUTION; BLASIUS EQUATION; HEAT-TRANSFER; WEDGE FLOW;

D O I：

10.1186/1687-2770-2011-3

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

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.

引用

页数：9

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