Partial Differential Equations
10 Bessel functions and two-dimensional problems
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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 10
Bessel functions and two-dimensional problems
10.1
Temperature on a disk
10.2
Bessel’s equation
10.3
Gamma function
10.4
Bessel functions of general order
10.5
Properties of Bessel functions
10.6
Sturm-Liouville theory
10.7
Our initial problem and Bessel functions
10.8
Fourier-Bessel series
10.9
Back to our initial problem
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