期刊文献+

带强耗散项的拟线性波方程的数值解 被引量:3

On the Numerical Solution of Quasilinear Wave Equation With Strong Dissipative Term
下载PDF
导出
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。 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.
出处 《应用数学和力学》 EI CSCD 北大核心 2004年第7期735-740,共6页 Applied Mathematics and Mechanics
关键词 周期问题 拟线性波方程 差分格式 数值解 periodical problem quasilinear wave equation difference scheme numerical solution
  • 相关文献

参考文献7

  • 1Lagnese J L.General boundary-value problems for differential equations of Sobolev type[J].SIAM, J Math Anal,1972,3:105-119.
  • 2Leopold H.Periodic solutions to a one-dimensional strongly nonlinear wave equation with strong dissipation[J].Czechoslovak Math J,1985,35(110):278-293.
  • 3Webb G F.Existence and asymptotic behavior for a strongly damped nonlinear wave equation[J].Canad J Math,1980,32:631-643.
  • 4Lebedev V I.The method of difference for the equations of Sobolev type[J].Dokl Acad Sci USSR,1957,114:1166-1169.
  • 5Amiraliyev 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.
  • 6Amiraliyev G M.On difference schemes for problems of the theory of dispersive waves[J].Soviet Math Dokl,1991,42:235-238.
  • 7Amiraliyev G M.Investigation of the difference schemes for the quasi-linear Sobolev equations[J].Differential Equations,1987,23:1453-1455.(in Russian)

共引文献1

同被引文献14

引证文献3

二级引证文献6

相关作者

内容加载中请稍等...

相关机构

内容加载中请稍等...

相关主题

内容加载中请稍等...

浏览历史

内容加载中请稍等...
;
使用帮助 返回顶部