Acta mathematica scientia,Series A

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Stability of One-leg θ-methods for Volterra Delay Integral Equations

Xu Yang; Zhao Jingjun   

  1. (Department of Mathematics, Harbin Institute of Technology, Harbin 150001)
  • Received:2006-07-25 Revised:2007-12-13 Online:2008-10-25 Published:2008-10-25
  • Contact: Xu Yang

Abstract:

Stable properties of one-leg θ -methods for Volterra integral equations with a lagging argument is considered. It is proved numerical methods preserve corresponding stability of this system if θ=1. Furthermore, stability region for the backward Euler method is presented.

Key words: Delay integral equation, Stability, Numerical method

CLC Number: 

  • 65L06
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