Consider the heat equation (6.1) with a = 0.1 solved in the interval 0 < x < 0.1 using the simple explicit method (6.2).
Posted: Mon May 09, 2022 9:33 am
Consider the heat equation (6.1) with a = 0.1 solved in the interval 0 < x < 0.1 using the simple explicit method (6.2). The number of grid points in the x-direction is N = 101 including the two points at the boundaries of the interval. What is the maximum time step At that allows us to avoid instability? Ans. Ar< 10-4. Ar < 3x10