A new spectral local linearization method for nonlinear boundary layer flow problems
type: Item
instance of: scholarly article
title: A new spectral local linearization method for nonlinear boundary layer flow problems
zbMATH Open document ID: 1397.65119
DOI: 10.1155/2013/423628
author: Yanyan Li
published in: Journal of Applied Mathematics
publication date: 2018-10-10T00:00:00Z
review text: Summary: We propose a simple and efficient method for solving highly nonlinear systems of boundary layer flow problems with exponentially decaying profiles. The algorithm of the proposed method is based on an innovative idea of linearizing and decoupling the governing systems of equations and reducing them into a sequence of subsystems of differential equations which are solved using spectral collocation methods. The applicability of the proposed method, hereinafter referred to as the spectral local linearization method (SLLM), is tested on some well-known boundary layer flow equations. The numerical results presented in this investigation indicate that the proposed method, despite being easy to develop and numerically implement, is very robust in that it converges rapidly to yield accurate results and is more efficient in solving very large systems of nonlinear boundary value problems of the similarity variable boundary layer type. The accuracy and numerical stability of the SLLM can further be improved by using successive overrelaxation techniques.
Mathematics Subject Classification ID: 65L60
Mathematics Subject Classification ID: 65L10
zbMATH DE Number: 6950666
Wikidata QID: Q59005900
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2013/423628
OpenAlex ID: W1965972924
description: scientific article; zbMATH DE number 6950666