Consider heat flow with convection (see Exercise 1.5.2): u t = k 2u x2 V0 u x. (a) Show
Chapter 5, Problem 5.3.4(choose chapter or problem)
Consider heat flow with convection (see Exercise 1.5.2): u t = k 2u x2 V0 u x. (a) Show that the spatial ordinary differential equation obtained by separation of variables is not in SturmLiouville form. *(b) Solve the initial boundary value problem u(0, t)=0 u(L, t)=0 u(x, 0) = f(x). (c) Solve the initial boundary value problem u x (0, t)=0 u x (L, t)=0 u(x, 0) = f(x).
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