How to give ode45 just 1 time step?

If I give only one step by tspan = 0:0.01:0.01; then it takes many smaller steps automatically between 0 and 0.01 How can I force it to take just one step?

Answer 1

[Jan]

ODE45 is an integrator with a step size control, which adjust the steps to satisfy the demands for accuracy. This helps to find the optimum between rounding and discretization errors. In consequence you can and should not force the integrator to use a specific step size.

Use a fixed step size integrator if you have any good reason to do so, but not ODE45.

Answer 2

[Riyadh BELBECIR]

The smallest value can be taken is two steps

Example :

tspan = [0 1 2];

[Steven Lord]

The values you specify as the tspan input to an ODE solver do not affect the steps the solver takes internally. If you specify more than 2 elements in tspan they specify the points at which the ODE solver returns the solution.