Question

vi. (8 mark) For an equation of the form TATity criterion is m,n m,n A 20 The equation 1 ar = azT+?T when discretized using explicit method, leads to T p l = Fo Tm +1 + 깎ǐ n + T pn+1 + T pn-l + (1 4 Fo) Tm, where Fo is the Fourier number. If the spatial step-size is Ax = 10-6 m , and the thermal diffusivity α-10-5 m2/s, what should be the maximum step size in the time domain in order to ensure that the solution is stable? m.n

Answer 1

尸 α.at 冖 , Δ거 ㄙㄨ 4-