Home Work # 3
Due March 2
Use symbolic math toolbox of Matlab or other symbolic programs such as Maple or
Mathematica to analyze the accuracy of the finite difference schemes listed blow. For the
analysis use the properties of shift operator
hD
E e
=discussed in section 4.3 of the class
notes. What operators do these finite difference schemes approximate? Obtain the
leading error term of the approximation evaluated at point i.
a)
1 1 2 3
3 10 18 6
12
i
i i i i
f f f f f
h
− + + +
− − + − +
b)
3 2 1 1
3
6 12 10 3
2
i
i i i i
f f f f f
h
− − − +
− + − +
P.S. Bring your solution to class. Email the code that you used for the analysis to