What happens if you try to numerically solve a stiff ODE? You may assume that yo

Question

What happens if you try to numerically solve a stiff ODE? You may assume that you are using ode45 in MATLAB to numerically solve the ODE.

A) Nothing special happens – stiffness has no meaningful impact on the numerical solutions of ODEs
B) The solution result tends to breaks down unless you use extremely small step sizes
C) Impossible to determine, as stiffness is only an analytical property
D) The solution result will generally be excellent since it is only non-stiff systems that one needs to worry about

Explanation / Answer

When we compare numerically solve a stiff ODE (order differential equations) with ode45 in MATLAB

there is no difference.Most of the time ode45 should be the first solver you try to solve but it is not in any special way.

Option A) Nothing special happens – stiffness has no meaningful impact on the numerical solutions of ODEs

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