Download presentation
Presentation is loading. Please wait.
1
Boundary-Value Problems in Other Coordinate Systems
Chapter 13 Boundary-Value Problems in Other Coordinate Systems
3
FIGURE 13.1.1 Polar coordinates of a point (x, y) are (r, )
4
FIGURE 13.1.2 Dirichlet problem for a circle
5
FIGURE 13.1.3 Semicircular plate in Example 2
6
FIGURE 13.1.4 Infinite plate in Problem 5
7
FIGURE 13.1.5 Quarter-circular plate in Problem 8
8
FIGURE 13.1.6 Wedge-shaped plate in Problem 10
9
FIGURE 13.1.7 Annular plate in Problem 11
10
FIGURE 13.1.8 Semiannular plate in Problem 14
11
FIGURE 13.1.9 Quarter-annular plate in Problem 17
12
FIGURE 13.1.10 One eighth-annular plate in Problem 18
13
FIGURE 13.2.1 Initial displacement of a circular membrane in Example 1
14
FIGURE Standing waves
15
FIGURE 13.2.3 Frames of a CAS “movie”
16
FIGURE 13.2.4 Cylindrical coordinates of a point (x, y, z) are (r, , z).
17
FIGURE 13.2.5 Circular cylinder in Example 2
18
FIGURE 13.2.6 Infinite cylinder in Problem 11
19
FIGURE 13.2.7 Composite circular plate in Problem 13
20
FIGURE 13.2.8 Oscillating chain in Problem 15
21
FIGURE 13.3.1 Spherical coordinates of a point (x, y, z) are (r, , ).
22
FIGURE 13.3.2 Dirichlet problem for a sphere in Example 1
23
FIGURE 13.3.3 Hollow sphere in Problem 5
24
FIGURE 13.3.4 Container of fluid in Problem 10
25
FIGURE 13.R.1 Wedge-shaped plate in Problem 5
26
FIGURE 13.R.2 Infinite plate in Problem 6
27
FIGURE 13.R.3 Circular plate in Problem 7
28
FIGURE 13.R.4 Cylinder in Problem 15
Similar presentations
