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Query regarding solving differential equation

조회 수: 1(최근 30일)
Bharath Ram
Bharath Ram 2018년 5월 24일
마감: MATLAB Answer Bot 2021년 8월 20일
I'm trying to solve equation of a mass damper system shown in the image. The x (LHS) is the unknown displacement which is to be solved from the equation.I know y and dy/dx values at each instant of time (obtained from experiments). While solving using ode45 I'm not able to update the value of y and dy/dx for each time interval. How else can I solve the equation to get value of x. I used central difference scheme but the answer is diverging from the expected values drastically, when marched in time. Thank you in advance.


sloppydisk 2018년 5월 24일
I'm guessing you are trying to use ode45 with variable timestep, make sure to pass y and dy/dx as an interpolation function such that it is defined for any point in time. For example like this:
yInterp = @(thisTime) interp1(t, y, thisTime);

Torsten 2018년 5월 24일
편집: Torsten 2018년 5월 24일
The example
ODE with Time-Dependent Terms
shows how to solve your problem using ODE45.
Your y and dy/dt should take the role of f and g in the example.
Best wishes

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