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NoobixCube
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Anyone have much knowledge on the ODE solvers in matlab? I have an ODE and I want to specificy whether the input is time or the y value for the dy/dt problem.
To specify the time and y values in MATLAB, you can use the "ode45" function. This function takes in the differential equation, initial conditions, and a time span as inputs. You can specify the time span using the "linspace" function, which creates a vector of evenly spaced time points. The initial conditions are specified as a vector, with the first element representing the initial time and the remaining elements representing the initial values of the dependent variables.
Yes, you can solve a system of ODEs using MATLAB. The "ode45" function can handle systems of up to six differential equations. If your system has more than six equations, you can use the "ode15s" function, which is better suited for stiff systems.
To plot the solution to an ODE in MATLAB, you can use the "plot" function. The output of the "ode45" function is a structure that contains the time and y values at each time point. You can use these values to create a plot by specifying the time as the x-axis and the corresponding y values as the y-axis.
The main difference between "ode45" and "ode15s" in MATLAB is that "ode45" uses a non-stiff solver, while "ode15s" uses a stiff solver. Stiff systems are those where the solution changes rapidly over a small time interval, and non-stiff systems are those where the solution changes gradually over a larger time interval. It is important to choose the appropriate solver depending on the stiffness of your system to ensure accurate results.
Yes, you can specify additional options when using the "ode45" function in MATLAB. For example, you can set the maximum and minimum time step sizes, the maximum number of time steps, and the error tolerance. These options can be specified using the "odeset" function before calling the "ode45" function.