Design of evolutionary optimized finite difference based numerical computing for dust density model of nonlinear Van-der Pol Mathieu’s oscillatory systems
In this study, a new evolutionary optimized finite difference based computing paradigm is presented for dynamical analysis of dust density model for the ensemble of electrical charges and dust particles represented with nonlinear oscillatory system based on hybridization of Van-der Pol and Mathieu e...
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| Vydané v: | Mathematics and computers in simulation Ročník 181; s. 444 - 470 |
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| Hlavní autori: | , , , , , |
| Médium: | Journal Article |
| Jazyk: | English |
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Elsevier B.V
01.03.2021
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| ISSN: | 0378-4754, 1872-7166 |
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| Abstract | In this study, a new evolutionary optimized finite difference based computing paradigm is presented for dynamical analysis of dust density model for the ensemble of electrical charges and dust particles represented with nonlinear oscillatory system based on hybridization of Van-der Pol and Mathieu equation (VDP-ME). Strength of accurate and effective discretization ability of finite difference method (FDM) is exploited to transform VDP-ME to equivalent nonlinear system of algebraic equations. The residual error based fitness function of the transformed model is constructed by the competency of approximation theory in mean square sense. The optimization of the residual error of the system through hybrid meta-heuristic computing paradigm GA-SQP; genetic algorithm (GA) for viable global search aided with rapid fine tuning of sequential quadratic programming (SQP). The proposed GA-SQP-FDM is applied on variants of dust density model of VDP-ME by varying the rate of charged dust grain production, as well as, loss and comparison of results with state of art numerical procedure established the worth of the scheme in terms of accuracy and convergence measures endorsed through statistical observations on large dataset. |
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| AbstractList | In this study, a new evolutionary optimized finite difference based computing paradigm is presented for dynamical analysis of dust density model for the ensemble of electrical charges and dust particles represented with nonlinear oscillatory system based on hybridization of Van-der Pol and Mathieu equation (VDP-ME). Strength of accurate and effective discretization ability of finite difference method (FDM) is exploited to transform VDP-ME to equivalent nonlinear system of algebraic equations. The residual error based fitness function of the transformed model is constructed by the competency of approximation theory in mean square sense. The optimization of the residual error of the system through hybrid meta-heuristic computing paradigm GA-SQP; genetic algorithm (GA) for viable global search aided with rapid fine tuning of sequential quadratic programming (SQP). The proposed GA-SQP-FDM is applied on variants of dust density model of VDP-ME by varying the rate of charged dust grain production, as well as, loss and comparison of results with state of art numerical procedure established the worth of the scheme in terms of accuracy and convergence measures endorsed through statistical observations on large dataset. |
| Author | Rehman, Ata ur Junaid, Muhammad Ahmed, Ashfaq Raja, Muhammad Asif Zahoor Shoaib, Muhammad Jadoon, Ihtesham |
| Author_xml | – sequence: 1 givenname: Ihtesham surname: Jadoon fullname: Jadoon, Ihtesham email: jadoon@ciit-attock.edu.pk organization: Department of Electrical and Computer Engineering, COMSATS University Islamabad, Wah Campus, Rawalpindi, Pakistan – sequence: 2 givenname: Muhammad Asif Zahoor surname: Raja fullname: Raja, Muhammad Asif Zahoor email: rajamaz@yuntech.edu.tw organization: Future Technology Research Center, National Yunlin University of Science and Technology, 123 University Road, Section 3, Douliou, Yunlin 64002, Taiwan ROC – sequence: 3 givenname: Muhammad surname: Junaid fullname: Junaid, Muhammad email: fa15-ree-017@ciit-attock.edu.pk organization: Department of Electrical and Computer Engineering, COMSATS University Islamabad, Campus Attock, Attock, Pakistan – sequence: 4 givenname: Ashfaq surname: Ahmed fullname: Ahmed, Ashfaq email: ashfaqahmed@ciitwah.edu.pk organization: Department of Electrical and Computer Engineering, COMSATS University Islamabad, Wah Campus, Rawalpindi, Pakistan – sequence: 5 givenname: Ata ur surname: Rehman fullname: Rehman, Ata ur email: dr.ataurrehman@ciit-attock.edu.pk organization: Department of Electrical and Computer Engineering, COMSATS University Islamabad, Campus Attock, Attock, Pakistan – sequence: 6 givenname: Muhammad surname: Shoaib fullname: Shoaib, Muhammad email: dr.shoaib@cuiatk.edu.pk organization: Department of Mathematics, COMSATS University Islamabad, Campus Attock, Attock, Pakistan |
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| Keywords | Evolutionary computing Dusty plasma Sequential quadratic programming Integrated computing Finite difference method |
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| Title | Design of evolutionary optimized finite difference based numerical computing for dust density model of nonlinear Van-der Pol Mathieu’s oscillatory systems |
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