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Parabolic Equations
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Lecture notes Partial differential
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Canonical form of elliptic
Contents
The Method of Separation of Variables
Subsections
Parabolic Equations
Heat Equation: Homogeneous Dirichlet boundary conditions
Insulated endpoint conditions(Neumann BVP)
Wave equation
Solution of one-dimensional wave equations by canonical transformation
D'Alembert's solution of wave equation
Vibrating string : variable separation method
Elliptic equations
Dirichlet problem for bounded region
Dirichlet problem for unbounded domain