HW#4
Advanced Mathematics
Due Date: Tuesday 21st Mehr
1. What is the solution to the initial-value problem:
2 u 2 u
=
< x <
x 2 t2
u ( x , 0 )=0
2
ut ( x ,0 )=x ex
Graph the value of u for position in [-5,5] and t=0,1,2,3,4.
2. Solve the wave equation w

HW#3
Due Date: Tuesday 14th Mehr
Advanced Mathematics
1. Solve the wave equation subjected to the following boundary conditions:
=
2. Solve the two dimensional heat transfer problem subjected to the following boundary conditions:
=
+
3. In the class it wa

HW#2
Advanced Mathematics
Due Date: Tuesday 7th Mehr
1. Write a small program using MATLAB to solve the heat transfer in a rod with one end at zero
temperature and the other end convecting heat to a medium kept at zero temperature. This problem was
worked

HW#1
Advanced Mathematics
Due Date: Tuesday 30th Shahrivar
1. Classify the following PDEs:
2 u
2 u
2 u
+6
+9 2 =0
xy
x2
y
2
2
u
u
=9
2
x y
x
2 u 1 2 u
=
x 2 a2 t 2
2. Show that the solution to the PDE:
2
2
u 1 u 1 u
+
+
=0
r 2 r r r 2 2
is:
u=(c 1 co