Partial Differential Equations
8 Separation of variables in polar coordinates
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Notes
1
Introduction
2
Classification of partial differential equations.
3
Boundary and Initial Conditions
4
Fourier Series
5
Separation of variables on rectangular domains
6
D’Alembert’s solution to the wave equation
7
Polar and spherical coordinate systems
8
Separation of variables in polar coordinates
9
Series solutions of O.D.E.
10
Bessel functions
11
Separation of variables in three dimensions
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Chapter 8
Separation of variables in polar coordinates
8.1
Example
8.1.1
Periodic BC
8.2
Three cases for
λ
8.3
Putting it all together
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