Acta mathematica scientia,Series A ›› 2011, Vol. 31 ›› Issue (5): 1239-1252.

• Articles • Previous Articles     Next Articles

Error Estimate of Parallel Two-step W-methods for Singular-perturbation Problems with Delays

 ZhAO Yong-Xiang1,2, XIAO Ai-Guo2   

  1. 1.College of |Mathematics and Computer Science, Chongqing Three Gorges University, Chongqing Wanzhou 404000;
    2.School of Mathematics and Computational Science, Hunan Key Laboratory for Computation and Simulation in Science and Engineering, Xiangtan University, Hunan |Xiangtan 411105
  • Received:2009-05-09 Revised:2011-03-18 Online:2011-10-25 Published:2011-10-25
  • Supported by:

    国家自然科学基金(10971175)、高等学校博士学科点专项科研基金(20094301110001)和湖南省自然科学基金(99JJ3002)资助

Abstract:

In this paper, the authors study the error estimates of parallel two-step W-methods for singular-perturbation initial value problems with delays in variable stepsizes environment, and obtain the corresponding convergence results. These theoretical results are confirmed by some numerical examples.

Key words: Singular-perturbation problems with delays, Parallel two-step W-methods, Error

CLC Number: 

  • 65L05
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