WOLFRAM|DEMONSTRATIONS PROJECT

Numerical Solution of the Advection Partial Differential Equation: Finite Differences, Fixed Step Methods

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boundary conditions
Periodic
method
Explicit Euler
spacial discretization, Δx
0.1
time step, Δt
0.1
time
This Demonstration shows some numerical methods for the solution of partial differential equations: in particular we solve the advection equation. We use finite differences with fixed-step discretization in space and time and show the relevance of the Courant–Friedrichs–Lewy stability criterion for some of these discretizations.