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Advanced Partial Differential Equations: Course Outline (MAT 666)

In mathematics, a partial differential equation (PDE) is a differential equation that contains unknown multivariable functions and their partial derivatives.

Course Contents

Classification of partial differential equation; Canonical form; Laplace-, Wave and Diffusion Equations. Partial differential Equation with at least three independent variables; Non-homogeneous problems; Green function for time independent problems; Infinite domain problems; Green function for time dependent problems; Wave equation and the method of characteristics, Eigen-function expansion method.

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