1. Matthew DeFilippis EPS 109 Fall ‘18
Wave on a String
Matthew DeFilippis
EPS 109
Fall ‘18

2. Making a Wave Fixed (Dirichlet): Goal:
Simulate a propagating wave on a string with varying boundary conditions and initial displacements
How did I do this?
Discretized the 1-Dimensional Wave Equation
Used Jacobi Method to update values in string
Implemented Fixed, Reflecting, and Absorbing Boundary Conditions
Created initial string displacements in order to start a wave
Reflecting (Neumann):
Ui+1 = Ui-1
Fixed (Dirichlet):
U(xmin,t)=0 , U(xmax,t)=0
Absorbing (Mur):
∂u / ∂x = - ( 1 / c) (∂u / ∂t) [1]
[1]

6. QUESTIONS?