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    Ritz Legendre Multiwavelet Method for the Damped Generalized Regularized Long-Wave Equation

    Source: Journal of Computational and Nonlinear Dynamics:;2012:;volume( 007 ):;issue: 001::page 14501
    Author:
    S. A. Yousefi
    ,
    Z. Barikbin
    DOI: 10.1115/1.4004121
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: In this paper, a numerical method is proposed to approximate the solution of the nonlinear damped generalized regularized long-wave (DGRLW) equation with a variable coefficient. The method is based upon Ritz Legendre multiwavelet approximations. The properties of Legendre multiwavelet are first presented. These properties together with the Galerkin method are then utilized to reduce the nonlinear DGRLW equation to the solution of algebraic equations. Illustrative examples are included to demonstrate the validity and applicability of the technique.
    keyword(s): Waves , Approximation , Equations , Wavelets AND Galerkin method ,
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      Ritz Legendre Multiwavelet Method for the Damped Generalized Regularized Long-Wave Equation

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    https://yetl.yabesh.ir/yetl1/handle/yetl/148376
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    • Journal of Computational and Nonlinear Dynamics

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    contributor authorS. A. Yousefi
    contributor authorZ. Barikbin
    date accessioned2017-05-09T00:48:50Z
    date available2017-05-09T00:48:50Z
    date copyrightJanuary, 2012
    date issued2012
    identifier issn1555-1415
    identifier otherJCNDDM-25798#014501_1.pdf
    identifier urihttp://yetl.yabesh.ir/yetl/handle/yetl/148376
    description abstractIn this paper, a numerical method is proposed to approximate the solution of the nonlinear damped generalized regularized long-wave (DGRLW) equation with a variable coefficient. The method is based upon Ritz Legendre multiwavelet approximations. The properties of Legendre multiwavelet are first presented. These properties together with the Galerkin method are then utilized to reduce the nonlinear DGRLW equation to the solution of algebraic equations. Illustrative examples are included to demonstrate the validity and applicability of the technique.
    publisherThe American Society of Mechanical Engineers (ASME)
    titleRitz Legendre Multiwavelet Method for the Damped Generalized Regularized Long-Wave Equation
    typeJournal Paper
    journal volume7
    journal issue1
    journal titleJournal of Computational and Nonlinear Dynamics
    identifier doi10.1115/1.4004121
    journal fristpage14501
    identifier eissn1555-1423
    keywordsWaves
    keywordsApproximation
    keywordsEquations
    keywordsWavelets AND Galerkin method
    treeJournal of Computational and Nonlinear Dynamics:;2012:;volume( 007 ):;issue: 001
    contenttypeFulltext
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    DSpace software copyright © 2002-2015  DuraSpace
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