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Definitions of Partial Differential
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PDE
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Method of Characteristics :
Partial Differential Equations of Second Order
More details of this part of the course can be found in Kreyszig Chapter 11.
Subsections
Definitions of Partial Differential Equations
Modelling: Derivation of the wave equation
D'Alembert's solution of the Wave Equation
Separation of Variables
Fourier Series
Half-Range Expansions
The Method of Separation of Variables
Modelling: Derivation of the heat equation
Solution of the heat equation: separation of variables
Prof. Alan Hood
2000-10-30