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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mohammed 2024-5-24

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https://ww2.mathworks.cn/matlabcentral/answers/2122236-the-solution-to-the-delayed-differential-equations-using-the-code-dde23-represents-the-solution-by-t

评论： mohammed 2024-5-24

采纳的回答： Sam Chak

dde23

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Answer 1

Sam Chak 2024-5-24

Hi @mohammed,

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:

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.
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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mohammed 2024-5-24

@Sam Chak Thank you so much

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Answer 2

Steven Lord 2024-5-24

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.