Spectral local linearisation approach for natural convection boundary layer flow
type: Item
instance of: scholarly article
title: Spectral local linearisation approach for natural convection boundary layer flow
zbMATH Open document ID: 1299.76057
author: S. Shateyi
author: Sandile Sydney Motsa
author: Z. G. Makukula
published in: Mathematical Problems in Engineering
publication date: 2014-11-24T00:00:00Z
review text: Summary: The present work introduces a spectral local linearisation method (SLLM) to solve a natural convection boundary layer flow problem with domain transformation. It is customary to find solutions of semi-infinite interval problems by first truncating the interval and subsequently applying a suitable numerical method. However, this gives rise to increased error terms in the numerical solution. Carrying out a transformation of the semi-infinite interval problems into singular problems posed on a finite interval can avoid the domain truncation error and enables the efficient application of collocation methods. The SLLM is based on linearising and decoupling nonlinear systems of equations into a sequence or subsystems of differential equations which are then solved using spectral collocation methods. A comparative study between the SLLM and existing results in the literature was carried out to validate the results. The method has shown to be a promising efficient tool for nonlinear boundary value problems as it gives converging results after very few iterations.
Mathematics Subject Classification ID: 76D10
Mathematics Subject Classification ID: 76R10
Mathematics Subject Classification ID: 76M25
zbMATH DE Number: 6372641
describes a project that uses: Matlab
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 6372641