|
- Consider the differential equation y’ = (1 - t 2) y. For what values of t is this equation stable? unstable?
The partial derivative of the right-hand side with respect to y is
(1-t2). The equation is stable if (1-t2)<0, and unstable if (1-t2)>0.
- What is a stiff differential equations?
It is an equation which is very stable.
- Why is it important to use a special differential equation solver for a stiff problem?
An ordinary differential equation solver will normally be very inefficient if it is applied
to a stiff problem.
|
