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Design of Spline–Evolutionary Computing Paradigm for Nonlinear Thin Film Flow Model
A novel design of stochastic numerical computing method is introduced for computational fluid dynamics problem governed with nonlinear thin film flow (TFF) system by exploiting the competency of polynomial splines for discretization and optimization with evolutionary computing aided with brilliance...
Autores principales: | , , , |
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Formato: | Online Artículo Texto |
Lenguaje: | English |
Publicado: |
Springer Berlin Heidelberg
2021
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Materias: | |
Acceso en línea: | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC8249438/ https://www.ncbi.nlm.nih.gov/pubmed/34230873 http://dx.doi.org/10.1007/s13369-021-05830-1 |
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author | Rizwan, Aamir Ahmad, Iftikhar Raja, Muhammad Asif Zahoor Shoaib, Muhammad |
author_facet | Rizwan, Aamir Ahmad, Iftikhar Raja, Muhammad Asif Zahoor Shoaib, Muhammad |
author_sort | Rizwan, Aamir |
collection | PubMed |
description | A novel design of stochastic numerical computing method is introduced for computational fluid dynamics problem governed with nonlinear thin film flow (TFF) system by exploiting the competency of polynomial splines for discretization and optimization with evolutionary computing aided with brilliance of local search. The TFF model of second grade fluid is represented with nonlinear second-order differential system. The aim of the present work is to exploit the cubic spline approach (CSA) to transform the differential equations for TFF model into an equivalent set of nonlinear equations. The approximation in mean squared error sense is introduced for the formulation of cost function for solving the nonlinear system of equations representing TFF model. The optimization of the decision variables of the cost function is carried out with global search efficacy of evolution by genetic algorithms (GAs) integrated with sequential quadratic programming (SQP) for speedy adjustments. The designed spline–evolutionary computing paradigm, CSA–GA–SQP, is evaluated for different scenarios of TFF model by variation of second grade and magnetic parameters, as well as variation in the length of splines. Results endorsed the worth of CSA–GA–SQP solver as an efficient alternative, reliable, stable, and accurate framework for the variants of nonlinear TFF systems on the basis of multiple autonomous executions. The design computing spline paradigm CSA–GA–SQP is a promising alternative numerical solver to be implemented for the solution of stiff nonlinear systems representing the complex scenarios of computational fluid dynamics problems. |
format | Online Article Text |
id | pubmed-8249438 |
institution | National Center for Biotechnology Information |
language | English |
publishDate | 2021 |
publisher | Springer Berlin Heidelberg |
record_format | MEDLINE/PubMed |
spelling | pubmed-82494382021-07-02 Design of Spline–Evolutionary Computing Paradigm for Nonlinear Thin Film Flow Model Rizwan, Aamir Ahmad, Iftikhar Raja, Muhammad Asif Zahoor Shoaib, Muhammad Arab J Sci Eng Research Article-Computer Engineering and Computer Science A novel design of stochastic numerical computing method is introduced for computational fluid dynamics problem governed with nonlinear thin film flow (TFF) system by exploiting the competency of polynomial splines for discretization and optimization with evolutionary computing aided with brilliance of local search. The TFF model of second grade fluid is represented with nonlinear second-order differential system. The aim of the present work is to exploit the cubic spline approach (CSA) to transform the differential equations for TFF model into an equivalent set of nonlinear equations. The approximation in mean squared error sense is introduced for the formulation of cost function for solving the nonlinear system of equations representing TFF model. The optimization of the decision variables of the cost function is carried out with global search efficacy of evolution by genetic algorithms (GAs) integrated with sequential quadratic programming (SQP) for speedy adjustments. The designed spline–evolutionary computing paradigm, CSA–GA–SQP, is evaluated for different scenarios of TFF model by variation of second grade and magnetic parameters, as well as variation in the length of splines. Results endorsed the worth of CSA–GA–SQP solver as an efficient alternative, reliable, stable, and accurate framework for the variants of nonlinear TFF systems on the basis of multiple autonomous executions. The design computing spline paradigm CSA–GA–SQP is a promising alternative numerical solver to be implemented for the solution of stiff nonlinear systems representing the complex scenarios of computational fluid dynamics problems. Springer Berlin Heidelberg 2021-07-02 2021 /pmc/articles/PMC8249438/ /pubmed/34230873 http://dx.doi.org/10.1007/s13369-021-05830-1 Text en © King Fahd University of Petroleum & Minerals 2021 This article is made available via the PMC Open Access Subset for unrestricted research re-use and secondary analysis in any form or by any means with acknowledgement of the original source. These permissions are granted for the duration of the World Health Organization (WHO) declaration of COVID-19 as a global pandemic. |
spellingShingle | Research Article-Computer Engineering and Computer Science Rizwan, Aamir Ahmad, Iftikhar Raja, Muhammad Asif Zahoor Shoaib, Muhammad Design of Spline–Evolutionary Computing Paradigm for Nonlinear Thin Film Flow Model |
title | Design of Spline–Evolutionary Computing Paradigm for Nonlinear Thin Film Flow Model |
title_full | Design of Spline–Evolutionary Computing Paradigm for Nonlinear Thin Film Flow Model |
title_fullStr | Design of Spline–Evolutionary Computing Paradigm for Nonlinear Thin Film Flow Model |
title_full_unstemmed | Design of Spline–Evolutionary Computing Paradigm for Nonlinear Thin Film Flow Model |
title_short | Design of Spline–Evolutionary Computing Paradigm for Nonlinear Thin Film Flow Model |
title_sort | design of spline–evolutionary computing paradigm for nonlinear thin film flow model |
topic | Research Article-Computer Engineering and Computer Science |
url | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC8249438/ https://www.ncbi.nlm.nih.gov/pubmed/34230873 http://dx.doi.org/10.1007/s13369-021-05830-1 |
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