MATH 566

 Spring 2009
 Homework

Chapter 5

Homework 5a

5.1
1b, 4ab, 8ab

5.2
2d - In addition solve with h=0.1 and give your solution in the form of a table with columns t and w(t)
4d - compare by plotting the actual error and the error bound on the same graph for both values of h
16 - In addition solve for t=0.01j, and plot the current vs. time 

Homework 5b

5.4
2d, 14d, 27, 28

5.6
1d - Only use the four step method 5.34
5d - i.e. implement the four step predictor-corrector method using 5.34 and 5.37
12

5.10
5, 7

5.11
11, 12, 15

Chapter 7

Homework 7a

7.1
2c, 3b, 5cd, 9

7.2
3be, 7be, 9, 13 (show in your own words, don't copy solution from the back of the book), 14

7.3
5bc, 7bc, 17

Homework 7b

7.3
21, 24, 25

7.5
7bc, 8bc, 9(i)(iii)

Chapter 11

Homework

11.1
7

11.2
6

11.3
7

11.4
6

Chapter 12

Homework 12a

12.1
Problem 1: 3c, and verify order of convergence by calculating the rms error on at least 7 different grids.

Problem 2: Construct the system of finite difference equations (Ax=b) for the Poisson problem when the spacing in the x and y directions are not necessarily equal. Use second order central differences and Dirichlet boundary conditions.

Homework 12b

12.2
Determine the stability of the second order centered difference (in space and time) method discused in class, 15, 18

12.3
8

12.4
Attached
problem on the finite element method