留言板

尊敬的读者、作者、审稿人, 关于本刊的投稿、审稿、编辑和出版的任何问题, 您可以本页添加留言。我们将尽快给您答复。谢谢您的支持!

姓名
邮箱
手机号码
标题
留言内容
验证码

带强耗散项的拟线性波方程的数值解

阿特青 古勒

阿特青 古勒. 带强耗散项的拟线性波方程的数值解[J]. 应用数学和力学, 2004, 25(7): 735-740.
引用本文: 阿特青 古勒. 带强耗散项的拟线性波方程的数值解[J]. 应用数学和力学, 2004, 25(7): 735-740.
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.

带强耗散项的拟线性波方程的数值解

详细信息
  • 中图分类号: O175.38

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

  • 摘要: 研究了一类拟线性波方程的数值解.构造了带强耗散项的拟线性波方程的三级差分格式,并证明其收敛性,估计了差分解的误差.最后给出数值例子.
  • [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
计量
  • 文章访问数:  2774
  • HTML全文浏览量:  135
  • PDF下载量:  614
  • 被引次数: 0
出版历程
  • 收稿日期:  2002-11-24
  • 刊出日期:  2004-07-15

目录

    /

    返回文章
    返回