Assignment #8
Due Tuesday
11/9
From text (Farlow, Partial
Differential Equations for Scientists and Engineers):
Exercise I: Solve the following initial and boundary value problem
by separation of variables:
PDE c2
utt = uxx
BCs
u(0,t)=0, u(L,t)=0
ICs u(x,0) = 0, ut(x,0)=g(x)
Exercise II: Solve the following initial and boundary
value problem by separation of variables:
PDE utt =
uxx
BCs
u(0,t)=0, ux(1,t)=0
ICs u(x,0) = 5 cos((pi/2)
x), ut(x,0)=0
Sketch u(x,t) at several
times. Give a physical interpretation to
the result (especially to the BCs).
Lesson 7: # 1, 2, 3, 4
Office: Chapman 301C. 474-7693
ffelb@uaf.edu
www.math.uaf.edu/~bueler/