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    Fractional Convection

    Source: Journal of Computational and Nonlinear Dynamics:;2018:;volume( 013 ):;issue: 001::page 11004
    Author:
    Li, Changpin
    ,
    Yi, Qian
    ,
    Kurths, Jürgen
    DOI: 10.1115/1.4037414
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: In this study, we describe the fractional convection operator for the first time and present its discrete form with second-order convergence. A numerical scheme for the fractional-convection–diffusion equation is also constructed in order to get insight into the fractional convection behavior visually. Then, we study the fractional-convection-dominated diffusion equation which has never been considered, where the diffusion is normal and is characterized by the Laplacian. The interesting fractional convection phenomena are observed through numerical simulation. Moreover, we investigate the fractional-convection-dominated-diffusion equation which is studied for the first time either, where the convection and the diffusion are both in the fractional sense. The corresponding fractional convection phenomena are displayed via computer graphics as well.
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      Fractional Convection

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    http://yetl.yabesh.ir/yetl1/handle/yetl/4253717
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    contributor authorLi, Changpin
    contributor authorYi, Qian
    contributor authorKurths, Jürgen
    date accessioned2019-02-28T11:11:51Z
    date available2019-02-28T11:11:51Z
    date copyright10/9/2017 12:00:00 AM
    date issued2018
    identifier issn1555-1415
    identifier othercnd_013_01_011004.pdf
    identifier urihttp://yetl.yabesh.ir/yetl1/handle/yetl/4253717
    description abstractIn this study, we describe the fractional convection operator for the first time and present its discrete form with second-order convergence. A numerical scheme for the fractional-convection–diffusion equation is also constructed in order to get insight into the fractional convection behavior visually. Then, we study the fractional-convection-dominated diffusion equation which has never been considered, where the diffusion is normal and is characterized by the Laplacian. The interesting fractional convection phenomena are observed through numerical simulation. Moreover, we investigate the fractional-convection-dominated-diffusion equation which is studied for the first time either, where the convection and the diffusion are both in the fractional sense. The corresponding fractional convection phenomena are displayed via computer graphics as well.
    publisherThe American Society of Mechanical Engineers (ASME)
    titleFractional Convection
    typeJournal Paper
    journal volume13
    journal issue1
    journal titleJournal of Computational and Nonlinear Dynamics
    identifier doi10.1115/1.4037414
    journal fristpage11004
    journal lastpage011004-6
    treeJournal of Computational and Nonlinear Dynamics:;2018:;volume( 013 ):;issue: 001
    contenttypeFulltext
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    DSpace software copyright © 2002-2015  DuraSpace
    نرم افزار کتابخانه دیجیتال "دی اسپیس" فارسی شده توسط یابش برای کتابخانه های ایرانی | تماس با یابش
    yabeshDSpacePersian