Iterative finite difference schemes for similar and nonsimilar boundary layer equations
type: Item
instance of: scholarly article
title: Iterative finite difference schemes for similar and nonsimilar boundary layer equations
zbMATH Open document ID: 0824.65064
DOI: 10.1016/0965-9978(94)90038-8
published in: Advances in Engineering Software
publication date: 1995-11-16T00:00:00Z
review text: Similar and nonsimilar boundary layer equations -- third-order ordinary or partial differential equations -- are considered. The basic principle of the method is the reduction of the third-order to a second-order problem introducing the first derivative of the solution as a new variable. The derivatives are replaced by finite differences and the necessary integration is realized by the iterated trapezoidal rule. Using a few examples (parallel flow over a flat plate, flow past a wedge) the method for similar boundary layer equations is discussed (a MATLAB program is given). Using applicable examples the extension of the method to time-dependent and nonsimilar boundary layer equations is shown.
Mathematics Subject Classification ID: 65L10
Mathematics Subject Classification ID: 65M06
Mathematics Subject Classification ID: 65L12
Mathematics Subject Classification ID: 76D10
Mathematics Subject Classification ID: 34B15
Mathematics Subject Classification ID: 35L75
Mathematics Subject Classification ID: 76M20
zbMATH DE Number: 749575
zbMATH Keywords: reduction to second order
zbMATH Keywords: nonsimilar boundary layer equations
zbMATH Keywords: third order
zbMATH Keywords: finite differences
zbMATH Keywords: iterated trapezoidal rule
zbMATH Keywords: MATLAB program
author: Shoichiro Nakamura
reviewed by: René Lamour
describes a project that uses: Matlab
MaRDI profile type: Publication
full work available at URL: 0965-9978(94)90038-8
OpenAlex ID: W2063167380
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description: scientific article; zbMATH DE number 749575