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A Legendre-Gauss collocation method for nonlinear delay differential equations

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  • 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.
    Mathematics Subject Classification: Primary: 5L60, 65L05, 65Q05, 41A10.

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