期刊文献+

扩展的Euler法求解奇异摄动Volterra型多滞量积分微分系统

The Implicit Euler Methods for a Class of Singularly Peturbed Volterra Integro-Differential System with Delays
下载PDF
导出
摘要 本文考虑了用隐式欧拉方法算法求解奇异摄动Volterra型积分微分延迟系统.在本文中给出了隐式Euler方法在一类特殊奇异摄动问题中仿真的算法.文章末尾我们给出了数值试验证明了算法的有效性. This paper is concerned with a general class of Delay Singularly Perturbed problems with integro-type delays.Numerical methods based on implicit Euler method and repeated quadrature formulae are suggested.In the end,numerical experiments confirm that the presented methods are effective.
作者 赵然 王磊
出处 《应用数学》 CSCD 北大核心 2006年第S1期90-92,共3页 Mathematica Applicata
基金 国家自然科学基金(10571066) 教育部回国留学人员基金资助
关键词 奇异摄动 延迟 Volterra型延迟积分微分方程 隐式Euler方法 数值实验 Singularly perturbed problems Volterra delays Integro-type delays Euler
  • 相关文献

参考文献5

  • 1张诚坚,高健.隐式Euler法关于Volterra延迟积分方程的数值稳定性[J].应用数学,2000,13(4):130-132. 被引量:4
  • 2W. Auzinger,R. Frank,G. Kirlinger.Extending convergence theory for nonlinear stiff problems part I[J].BIT Numerical Mathematics.1996(4)
  • 3Zhang C,Vanderwalle S.Stability analysis of delay-integro-differential equations and their backwark differentiation time-discretization[].Journal of Computational and Applied Mathematics.2004
  • 4Haiere E,Wanner G.Solving Ordinary Differential EquationsⅡ:Stiff and Differential-Algebraic Problems[]..1991
  • 5Cahlon B.On the numerical stability of Volterra integral equations with delay arguments[].Journal of Computational and Applied Mathematics.1990

二级参考文献4

  • 1[1]Motrugim D. Resistence of Impact with Retarded InverseConnections[M].Moscow:Sovetskoe Radio, 1961.
  • 2[2]Cahlon B, Nachman J, and Schmidt D.Numerical soltuions of Volterra integral equations with delay arguments[J]. J. Integ.Eq., 1984,7: 191~208.
  • 3[3]Cahlon B. On the numerical stability of Volterra integral equations with delay arguments[J]. J. Comput. Appl. Math.,1990,33:97~104.
  • 4[4]Dahlquist G. G-stability is equivalent to A-stability[J]. BIT, 1978,18:384~401.

共引文献3

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