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1
vote
Unexpected results of MATLAB's ode45
Here is a guess as to what might be going on. ode45 (like all the MATLAB ode solvers) adjusts the step size based on it's estimate of the solution error. All equations are considered in this calculati …
1
vote
Numerical methods for coupled stiff PDEs
The first step is to add one more equation defined as:
$$\frac{\partial y_3}{\partial t} = v$$
Then if you substitute equations 1 and 2 and the new equation into your modified equation 3 you get:
$ …