Aytekin Gülle. On the Numerical Solution of Quasilinear Wave Equation With Strong Dissipative Term[J]. Applied Mathematics and Mechanics, 2004, 25(7): 735-740.
Citation: Aytekin Gülle. On the Numerical Solution of Quasilinear Wave Equation With Strong Dissipative Term[J]. Applied Mathematics and Mechanics, 2004, 25(7): 735-740.

On the Numerical Solution of Quasilinear Wave Equation With Strong Dissipative Term

  • Received Date: 2002-11-24
  • Publish Date: 2004-07-15
  • The numerical solution for a type of quasilinear wave equation is studied.The three-level difference scheme for quasi-linear waver equation with strong dissipative term is constructed and the convergence is proved.The error of the difference solution is estimated.The theoretical results are controlled on a numerical example.
  • loading
  • [1]
    Lagnese J L.General boundary-value problems for differential equations of Sobolev type[J].SIAM, J Math Anal,1972,3:105—119. doi: 10.1137/0503013
    [2]
    Leopold H.Periodic solutions to a one-dimensional strongly nonlinear wave equation with strong dissipation[J].Czechoslovak Math J,1985,35(110):278—293.
    [3]
    Webb G F.Existence and asymptotic behavior for a strongly damped nonlinear wave equation[J].Canad J Math,1980,32:631—643. doi: 10.4153/CJM-1980-049-5
    [4]
    Lebedev V I.The method of difference for the equations of Sobolev type[J].Dokl Acad Sci USSR,1957,114:1166—1169.
    [5]
    Amiraliyev G M.Towards the numerical solution of the perodical on time problem for pseudo-parabolic equation[J].Numerical Methods of Analysis BAKU State University,1988,3—8.
    [6]
    Amiraliyev G M.On difference schemes for problems of the theory of dispersive waves[J].Soviet Math Dokl,1991,42:235—238.
    [7]
    Amiraliyev G M.Investigation of the difference schemes for the quasi-linear Sobolev equations[J].Differential Equations,1987,23:1453—1455.(in Russian)
  • 加载中

Catalog

    通讯作者: 陈斌, bchen63@163.com
    • 1. 

      沈阳化工大学材料科学与工程学院 沈阳 110142

    1. 本站搜索
    2. 百度学术搜索
    3. 万方数据库搜索
    4. CNKI搜索

    Article Metrics

    Article views (2728) PDF downloads(613) Cited by()
    Proportional views
    Related

    /

    DownLoad:  Full-Size Img  PowerPoint
    Return
    Return