A Legendre-gauss Collocation Method for Nonlinear Delay Differential Equations

نویسندگان

  • Zhong-Qing Wang
  • Li-Lian Wang
  • Zhimin Zhang
  • ZHONG-QING WANG
  • LI-LIAN WANG
  • Yan
چکیده

In this paper, we introduce an efficient Legendre-Gauss collocation method for solving nonlinear delay differential equations with variable delay. We analyze the convergence of the single-step and multi-domain versions of the proposed method, and show that the scheme enjoys high order accuracy and can be implemented in a stable and efficient manner. We also make numerical comparison with other methods.

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تاریخ انتشار 2010