Consider the Boundary-Value Problem:
\(9 \frac{\partial^2 u}{\partial x^2} = \frac{\partial^2 u}{\partial t^2}\), \(0 < x < 2\), \(0 < t < 5\)
\(u(0, t) = 0\), \(u(2, t) = 0\), \(0 \le t \le 5\)
\(u(x, 0) = 3x(x - 2)\), \(0 \le x \le 2\)
if \(n = 6\), what is the minimum value of \(m\), which makes the explicit finite difference method stable when
applied to the above problem?
45
60
30
18