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Delay-dependent stability of symmetric boundary value methods for second order delay differential equations with three parameters

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Abstract

This paper aims at the delay-dependent stability analysis of symmetric boundary value methods, which include the Extended Trapezoidal Rules of the first kind and the second kind, the Top Order Methods and the B-spline linear multistep methods, for second order delay differential equations with three parameters. Theoretical analysis and numerical results are presented to show that the symmetric boundary value methods preserve the asymptotic stability of the true solutions of the test equation.

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Authors and Affiliations

  1. Department of Mathematics, Harbin Institute of Technology, Harbin, 150001, China

    Jingjun Zhao, Yang Xu, Xindi Li & Yan Fan

Authors
  1. Jingjun Zhao
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  2. Yang Xu
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  3. Xindi Li
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  4. Yan Fan
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Corresponding author

Correspondence to Yang Xu.

Additional information

This work is supported by the National Natural Science Foundation of China (11101109, 11271102), the Natural Science Foundation of Hei-long-jiang Province (A201107), PIRS of HIT (A201405) and SRF for ROCS, SEM.

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Zhao, J., Xu, Y., Li, X. et al. Delay-dependent stability of symmetric boundary value methods for second order delay differential equations with three parameters. Numer Algor 69, 321–336 (2015). https://doi.org/10.1007/s11075-014-9898-9

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  • DOI: https://doi.org/10.1007/s11075-014-9898-9

Keywords

Mathematics Subject Classification (2010)