1.

What is the condition of stability for the forward Euler method when the function is real?(a) \(\Delta t\frac{\partial f}{\partial\phi}

Answer»

Right choice is (b) \(\big|\Delta t\frac{\partial F}{\partial\phi}\big|<2\)

To explain: The forward Euler method is conditionally STABLE. For this method to be stable, it needs the following condition to be SATISFIED.

\(\big|1+\Delta t\frac{\partial f}{\partial\phi} \big|<1\)

When the FUNCTION f is real, this becomes

\(\big|\Delta t\frac{\partial f}{\partial\phi} \big|<2\).



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