University of Florida/Egm6321/F10.TEAM1.WILKS/Mtg41

From Wikiversity
Jump to navigation Jump to search

EGM6321 - Principles of Engineering Analysis 1, Fall 2009[edit | edit source]

Mtg 41: Tues, 1Dec09

Page 41-1

[edit | edit source]

Review for exam 2

- Historical development - Legendre functions
Question: How to obtain based on known  ? - 2 recurring relationships. Same technique in power series.
Solution: Frobenius method
Question: Find a differential equation governing all  ? - Legendre differential equations
2 families of homogeneous solutions:
- Legendre functions= +


Newtonian potential is solution of Laplace equation


Page 41-2

[edit | edit source]

, where

, where

Where this argument is based on the power series
Laplace equations in a sphere
axisymmetrical case P.29-1
separation of variables P.30-1
General solution of axisymmetrical Laplace equations in a sphere

Where can be found on P.31-2

and can be found on P.32-1


References[edit | edit source]