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Types of Equations
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Computational Physics
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Your Report
Partial Differential Equations
Subsections
Types of Equations
Elliptic Equations -- Laplace's equation
Hyperbolic Equations -- Wave equations
A Simple Algorithm
An Improved Algorithm -- the Lax method
Non-Linear Equations
Other methods for Hyperbolic Equations
Eulerian and Lagrangian Methods
Parabolic Equations -- Diffusion
A Simple Method
The Dufort-Frankel Method
Other Methods
Conservative Methods
The Equation of Continuity
The Diffusion Equation
Maxwell's Equations
Dispersion
Problems
Project -- Lagrangian Fluid Code
The Difference Equations
Boundary Conditions
Initial Conditions
The Physics
An Improvement?
The Report
Project -- Solitons
Introduction
Discretisation
Physics
