Forecasting Pollution Using Numerical Simulation Implementing Artificial Bee Colony Optimization

In this article, an optimization strategy is presented for the numerical solution of Burgers’ equations, which play an important role in estimating and forecasting pollution. The method involves the exponential B-spline basis function as the basis function in the differential quadrature method. Sinc...

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Main Authors: Geeta Arora, Harshdeep Kaur, Homan Emadifar, Samaneh Roudgarnejad, Hesam Emadifar
Format: Article
Language:English
Published: Wiley 2023-01-01
Series:Discrete Dynamics in Nature and Society
Online Access:http://dx.doi.org/10.1155/2023/5844407
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author Geeta Arora
Harshdeep Kaur
Homan Emadifar
Samaneh Roudgarnejad
Hesam Emadifar
author_facet Geeta Arora
Harshdeep Kaur
Homan Emadifar
Samaneh Roudgarnejad
Hesam Emadifar
author_sort Geeta Arora
collection DOAJ
description In this article, an optimization strategy is presented for the numerical solution of Burgers’ equations, which play an important role in estimating and forecasting pollution. The method involves the exponential B-spline basis function as the basis function in the differential quadrature method. Since exponential B-spline involves a parameter, the artificial bee colony optimization algorithm is implemented to find the unknown parameters that result in the minimum error. Among the metaheuristic optimization algorithms, the artificial bee colony (ABC) is one that has received the greatest attention from researchers and has been successfully implemented to solve various problems in engineering and sciences. The proposed work emphasizes the calculation of the parameter of exponential basis functions, a major factor that plays a role in the error calculation using the ABC optimization algorithm. The acquired findings are provided as tables, and the physical behaviour is showcased in the form of figures and tables. The results are in good conformity with the earlier studies.
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spelling doaj-art-eeeea12aa6734a5d8bf45d552263e1292025-08-20T02:22:24ZengWileyDiscrete Dynamics in Nature and Society1607-887X2023-01-01202310.1155/2023/5844407Forecasting Pollution Using Numerical Simulation Implementing Artificial Bee Colony OptimizationGeeta Arora0Harshdeep Kaur1Homan Emadifar2Samaneh Roudgarnejad3Hesam Emadifar4Department of MathematicsDepartment of MathematicsDepartment of MathematicsDepartment of AgronomyDepartment of AgronomyIn this article, an optimization strategy is presented for the numerical solution of Burgers’ equations, which play an important role in estimating and forecasting pollution. The method involves the exponential B-spline basis function as the basis function in the differential quadrature method. Since exponential B-spline involves a parameter, the artificial bee colony optimization algorithm is implemented to find the unknown parameters that result in the minimum error. Among the metaheuristic optimization algorithms, the artificial bee colony (ABC) is one that has received the greatest attention from researchers and has been successfully implemented to solve various problems in engineering and sciences. The proposed work emphasizes the calculation of the parameter of exponential basis functions, a major factor that plays a role in the error calculation using the ABC optimization algorithm. The acquired findings are provided as tables, and the physical behaviour is showcased in the form of figures and tables. The results are in good conformity with the earlier studies.http://dx.doi.org/10.1155/2023/5844407
spellingShingle Geeta Arora
Harshdeep Kaur
Homan Emadifar
Samaneh Roudgarnejad
Hesam Emadifar
Forecasting Pollution Using Numerical Simulation Implementing Artificial Bee Colony Optimization
Discrete Dynamics in Nature and Society
title Forecasting Pollution Using Numerical Simulation Implementing Artificial Bee Colony Optimization
title_full Forecasting Pollution Using Numerical Simulation Implementing Artificial Bee Colony Optimization
title_fullStr Forecasting Pollution Using Numerical Simulation Implementing Artificial Bee Colony Optimization
title_full_unstemmed Forecasting Pollution Using Numerical Simulation Implementing Artificial Bee Colony Optimization
title_short Forecasting Pollution Using Numerical Simulation Implementing Artificial Bee Colony Optimization
title_sort forecasting pollution using numerical simulation implementing artificial bee colony optimization
url http://dx.doi.org/10.1155/2023/5844407
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AT homanemadifar forecastingpollutionusingnumericalsimulationimplementingartificialbeecolonyoptimization
AT samanehroudgarnejad forecastingpollutionusingnumericalsimulationimplementingartificialbeecolonyoptimization
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