The stability criterion for the explicit method requires that the coefficient of the term of the one-dimensional,

Question:

The stability criterion for the explicit method requires that the coefficient of the term of the one-dimensional, finite-difference equation be zero or positive. Consider the situation for which the temperatures at the two neighboring nodes are 100°C while the center node is at 50°C. Show that for values of Fo > ½ k the finite-difference equation will predict a value of that violates the second law of thermodynamics.