Higher-Dimensional Fractional Order Modelling for Plasma Particles with Partial Slip Boundaries: A Numerical Study

We integrate fractional calculus and plasma modelling concepts with specific geometry in this article, and further formulate a higher dimensional time-fractional Vlasov Maxwell system. Additionally, we develop a quick, efficient, robust, and accurate numerical approach for temporal variables and fil...

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Autores principales:	Tamour Zubair, Muhammad Imran Asjad, Muhammad Usman, Jan Awrejcewicz
Formato:	article
Lenguaje:	EN
Publicado:	MDPI AG 2021
Materias:	partial slip boundary conditions polynomial theory linear polarization fraction plasma modelling Chemistry QD1-999
Acceso en línea:	https://doaj.org/article/602de69e3d334a218f80c895a1459280
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spelling	oai:doaj.org-article:602de69e3d334a218f80c895a14592802021-11-25T18:30:34ZHigher-Dimensional Fractional Order Modelling for Plasma Particles with Partial Slip Boundaries: A Numerical Study10.3390/nano111128842079-4991https://doaj.org/article/602de69e3d334a218f80c895a14592802021-10-01T00:00:00Zhttps://www.mdpi.com/2079-4991/11/11/2884https://doaj.org/toc/2079-4991We integrate fractional calculus and plasma modelling concepts with specific geometry in this article, and further formulate a higher dimensional time-fractional Vlasov Maxwell system. Additionally, we develop a quick, efficient, robust, and accurate numerical approach for temporal variables and filtered Gegenbauer polynomials based on finite difference and spectral approximations, respectively. To analyze the numerical findings, two types of boundary conditions are used: Dirichlet and partial slip. Particular methodology is used to demonstrate the proposed scheme’s numerical convergence. A detailed analysis of the proposed model with plotted figures is also included in the paper.Tamour ZubairMuhammad Imran AsjadMuhammad UsmanJan AwrejcewiczMDPI AGarticlepartial slip boundary conditionspolynomial theorylinear polarizationfraction plasma modellingChemistryQD1-999ENNanomaterials, Vol 11, Iss 2884, p 2884 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	partial slip boundary conditions polynomial theory linear polarization fraction plasma modelling Chemistry QD1-999
spellingShingle	partial slip boundary conditions polynomial theory linear polarization fraction plasma modelling Chemistry QD1-999 Tamour Zubair Muhammad Imran Asjad Muhammad Usman Jan Awrejcewicz Higher-Dimensional Fractional Order Modelling for Plasma Particles with Partial Slip Boundaries: A Numerical Study
description	We integrate fractional calculus and plasma modelling concepts with specific geometry in this article, and further formulate a higher dimensional time-fractional Vlasov Maxwell system. Additionally, we develop a quick, efficient, robust, and accurate numerical approach for temporal variables and filtered Gegenbauer polynomials based on finite difference and spectral approximations, respectively. To analyze the numerical findings, two types of boundary conditions are used: Dirichlet and partial slip. Particular methodology is used to demonstrate the proposed scheme’s numerical convergence. A detailed analysis of the proposed model with plotted figures is also included in the paper.
format	article
author	Tamour Zubair Muhammad Imran Asjad Muhammad Usman Jan Awrejcewicz
author_facet	Tamour Zubair Muhammad Imran Asjad Muhammad Usman Jan Awrejcewicz
author_sort	Tamour Zubair
title	Higher-Dimensional Fractional Order Modelling for Plasma Particles with Partial Slip Boundaries: A Numerical Study
title_short	Higher-Dimensional Fractional Order Modelling for Plasma Particles with Partial Slip Boundaries: A Numerical Study
title_full	Higher-Dimensional Fractional Order Modelling for Plasma Particles with Partial Slip Boundaries: A Numerical Study
title_fullStr	Higher-Dimensional Fractional Order Modelling for Plasma Particles with Partial Slip Boundaries: A Numerical Study
title_full_unstemmed	Higher-Dimensional Fractional Order Modelling for Plasma Particles with Partial Slip Boundaries: A Numerical Study
title_sort	higher-dimensional fractional order modelling for plasma particles with partial slip boundaries: a numerical study
publisher	MDPI AG
publishDate	2021
url	https://doaj.org/article/602de69e3d334a218f80c895a1459280
work_keys_str_mv	AT tamourzubair higherdimensionalfractionalordermodellingforplasmaparticleswithpartialslipboundariesanumericalstudy AT muhammadimranasjad higherdimensionalfractionalordermodellingforplasmaparticleswithpartialslipboundariesanumericalstudy AT muhammadusman higherdimensionalfractionalordermodellingforplasmaparticleswithpartialslipboundariesanumericalstudy AT janawrejcewicz higherdimensionalfractionalordermodellingforplasmaparticleswithpartialslipboundariesanumericalstudy
_version_	1718411076958158848

Higher-Dimensional Fractional Order Modelling for Plasma Particles with Partial Slip Boundaries: A Numerical Study

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