The Spectral Homotopy Analysis Method Extended to Systems of Partial Differential Equations

被引：5

作者：

Motsa, S. S. ^{[1
]}

Awad, F. G. ^{[1
]}

Makukula, Z. G. ^{[1
]}

Sibanda, P. ^{[1
]}

机构：

[1] Univ KwaZulu Natal, Sch Math Stat & Comp Sci, ZA-3209 Pietermaritzburg, South Africa

来源：

ABSTRACT AND APPLIED ANALYSIS | 2014年

基金：

新加坡国家研究基金会;

关键词：

CONVECTION HEAT-TRANSFER; BOUNDARY-LAYER-FLOW; VOLUMETRIC EXPANSION; VERTICAL SURFACE; UNSTEADY; COEFFICIENT; SHEET;

D O I：

10.1155/2014/241594

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The spectral homotopy analysis method is extended to solutions of systems of nonlinear partial differential equations. The SHAM has previously been successfully used to find solutions of nonlinear ordinary differential equations. We solve the nonlinear system of partial differential equations that model the unsteady nonlinear convective flow caused by an impulsively stretching sheet. The numerical results generated using the spectral homotopy analysis method were compared with those found using the spectral quasilinearisation method (SQLM) and the two results were in good agreement.

引用

页数：11

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