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The solution to the delayed differential equations using the code dde23 represents the solution by the third order Runge-Kutta method or what?

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dde23

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Sam Chak
Sam Chak 2024년 5월 24일 16:33
Your guess is correct. If you click on the link to the dde23's Algorithm section, you will find that it states "dde23 tracks discontinuities and integrates with the explicit Runge-Kutta (2,3) pair and interpolant of ode23. It uses iteration to take steps longer than the lags."
If you wish to delve deeper into this topic, I would encourage you to refer to the following academic papers:
  1. L. F. Shampine and S. Thompson, “Solving DDEs in MATLAB,” Applied Numerical Mathematics, vol. 37, no. 4, pp. 441–458, Jun. 2001, doi: 10.1016/s0168-9274(00)00055-6.
  2. P. Bogacki and L. F. Shampine, “A 3(2) pair of Runge - Kutta formulas,” Applied Mathematics Letters, vol. 2, no. 4, pp. 321–325, 1989, doi: 10.1016/0893-9659(89)90079-7.

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Steven Lord
Steven Lord 2024년 5월 24일 15:29
It's not clear to me what information you're looking for. The dde23 function returns the solution to a system of delay differential equations.
If you're asking what algorithm it uses, see the Algorithms section on that documentation page for a brief description and the References section on that documentation page for references to one book and one tutorial that provide more detailed information.

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