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    Analytical and Numerical Solutions of the Riccati Equation Using the Method of Variation of Parameters. Application to Population Dynamics

    Source: Journal of Computational and Nonlinear Dynamics:;2020:;volume( 015 ):;issue: 010::page 0101009-1
    Author:
    Tumbarell Aranda, Orestes
    ,
    Oliveira, Fernando A.
    DOI: 10.1115/1.4047990
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: This work presents new approximate analytical solutions for the Riccati equation (RE) resulting from the application of the method of variation of parameters. The original equation is solved using another RE explicitly dependent on the independent variable. The solutions obtained are easy to implement and highly applicable, which is confirmed by solving several examples corresponding to REs whose solution is known, as well as optimizing the method to determine the density of the members that make up a population. In this way, new perspectives are open in the study of the phenomenon of pattern formation.
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      Analytical and Numerical Solutions of the Riccati Equation Using the Method of Variation of Parameters. Application to Population Dynamics

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    contributor authorTumbarell Aranda, Orestes
    contributor authorOliveira, Fernando A.
    date accessioned2022-02-04T22:11:45Z
    date available2022-02-04T22:11:45Z
    date copyright8/26/2020 12:00:00 AM
    date issued2020
    identifier issn1555-1415
    identifier otherjmr_13_1_011003.pdf
    identifier urihttp://yetl.yabesh.ir/yetl1/handle/yetl/4275071
    description abstractThis work presents new approximate analytical solutions for the Riccati equation (RE) resulting from the application of the method of variation of parameters. The original equation is solved using another RE explicitly dependent on the independent variable. The solutions obtained are easy to implement and highly applicable, which is confirmed by solving several examples corresponding to REs whose solution is known, as well as optimizing the method to determine the density of the members that make up a population. In this way, new perspectives are open in the study of the phenomenon of pattern formation.
    publisherThe American Society of Mechanical Engineers (ASME)
    titleAnalytical and Numerical Solutions of the Riccati Equation Using the Method of Variation of Parameters. Application to Population Dynamics
    typeJournal Paper
    journal volume15
    journal issue10
    journal titleJournal of Computational and Nonlinear Dynamics
    identifier doi10.1115/1.4047990
    journal fristpage0101009-1
    journal lastpage0101009-9
    page9
    treeJournal of Computational and Nonlinear Dynamics:;2020:;volume( 015 ):;issue: 010
    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
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