Lecture 14:

David Glover first gave this lecture 29 Oct 1996

PDE's Categorization, Boundary Conditions and Numerical Solutions

Table of Contents (Clicking below goes to section, clicking "GoToTOC" return here) Last changed October 31, 1996

14.0 What are Partial Differential Equations?

14.1 Categories

14.1.1 Parabolic (diffusive) equations

14.1.2 Elliptic (Poisson) equations

14.1.3 Hyperbolic (wave) equations

14.2 Ingredients necessary for solution

14.2.1 Boundary conditions

14.2.2 Initial value problems

14.2.3 Boundary value problems

14.3 Parabolic (diffusive) initial value problems

14.3.1 Fully explicit methods

14.3.2 Fully implicit methods

14.3.3 Semi-implicit methods

14.3.4 Multi-dimensional forms

14.4 Elliptical (Poisson) boundary value problems

14.4.1 Relaxation methods

14.4.2 Gauss-Seidel relaxation method

14.4.3 Simultaneous over-relaxation (SOR) method

14.5 MatLab's PDEtool

14.5.1 The Finite Element Method (FEM)

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