How to convey time variant variables to DAE solvers (ode15s, etc - symbolic approach)?

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Paul 2016-11-7

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此问题的直接链接

https://ww2.mathworks.cn/matlabcentral/answers/310926-how-to-convey-time-variant-variables-to-dae-solvers-ode15s-etc-symbolic-approach

Consider large set of DAE equations. Each equation depends on state variable such as x(t), y(t), etc. These variables are known within their domain, but they do change in time. In documentation there is a step 4: Convert DAE Systems to MATLAB Function Handles that explains how to supply numerical values to constant variables, however there is no mention about time dependant ones.

I know that one can call solver with function handle to custom function that has independent variable within its argument, i.e.

[T, solution] = ode15s(@odefun, [t0, tf], initial_y);
    function Y = odefun(t,y)
    % t is independent variable. Now we can count x(t), such as
    x = getx(t);
    (...)
    end