Numerical Analysis of Time-Accurate Solution of Nonlinear Flow Models by Implicit Finite Differences

Numerical Analysis of Time-Accurate Solution of Nonlinear Flow Models by Implicit Finite Differences

Implicit finite differences are often applied to solve flow models. A standard technique to solve these equations is Newton's method. lf time step is too large although the difference equation could be computationally stable, Newton's method may fail, and PFI (perturbed functional iterati...

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Main Author: S. K. Dey
Format: Article
Language:English
Published: Vilnius University Press 2003-01-01
Series:Nonlinear Analysis
Subjects:
nonlinear flow
finite differences
perturbed functional iterations
Online Access:http://www.journals.vu.lt/nonlinear-analysis/article/view/15176
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spelling doaj-fe933f491d864d329ae9a0ceb79e8ce12020-11-25T02:27:30ZengVilnius University PressNonlinear Analysis1392-51132335-89632003-01-018110.15388/NA.2003.8.1.15176Numerical Analysis of Time-Accurate Solution of Nonlinear Flow Models by Implicit Finite DifferencesS. K. Dey0Eastern Illinois University, USA Implicit finite differences are often applied to solve flow models. A standard technique to solve these equations is Newton's method. lf time step is too large although the difference equation could be computationally stable, Newton's method may fail, and PFI (perturbed functional iterations) may be fruitful. This is discussed in this article applying nonlinear D-mapping analysis. http://www.journals.vu.lt/nonlinear-analysis/article/view/15176nonlinear flowfinite differencesperturbed functional iterations
collection DOAJ
language English
format Article
sources DOAJ
author S. K. Dey
spellingShingle S. K. Dey
Numerical Analysis of Time-Accurate Solution of Nonlinear Flow Models by Implicit Finite Differences
Nonlinear Analysis
nonlinear flow
finite differences
perturbed functional iterations
author_facet S. K. Dey
author_sort S. K. Dey
title Numerical Analysis of Time-Accurate Solution of Nonlinear Flow Models by Implicit Finite Differences
title_short Numerical Analysis of Time-Accurate Solution of Nonlinear Flow Models by Implicit Finite Differences
title_full Numerical Analysis of Time-Accurate Solution of Nonlinear Flow Models by Implicit Finite Differences
title_fullStr Numerical Analysis of Time-Accurate Solution of Nonlinear Flow Models by Implicit Finite Differences
title_full_unstemmed Numerical Analysis of Time-Accurate Solution of Nonlinear Flow Models by Implicit Finite Differences
title_sort numerical analysis of time-accurate solution of nonlinear flow models by implicit finite differences
publisher Vilnius University Press
series Nonlinear Analysis
issn 1392-5113
2335-8963
publishDate 2003-01-01
description Implicit finite differences are often applied to solve flow models. A standard technique to solve these equations is Newton's method. lf time step is too large although the difference equation could be computationally stable, Newton's method may fail, and PFI (perturbed functional iterations) may be fruitful. This is discussed in this article applying nonlinear D-mapping analysis.
topic nonlinear flow
finite differences
perturbed functional iterations
url http://www.journals.vu.lt/nonlinear-analysis/article/view/15176
work_keys_str_mv AT skdey numericalanalysisoftimeaccuratesolutionofnonlinearflowmodelsbyimplicitfinitedifferences
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