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Simulations of Standing Waves

Simulations of Standing Waves. Kevin Kha EPS 109. Description of Method. M odel the movement of various waves traveling through a finite medium with some tension (string, cords, wire, etc.) Method of solving: Equation: Solve like Heat Equation: 2 nd order ODE

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Simulations of Standing Waves

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  1. Simulations of Standing Waves Kevin Kha EPS 109

  2. Description of Method • Model the movement of various waves traveling through a finite medium with some tension (string, cords, wire, etc.) • Method of solving: • Equation: • Solve like Heat Equation: 2nd order ODE • Reflecting boundary conditions to simulate walls

  3. Movie • Run the script with: standing_wave.m • Use different initial conditions by changing the equation for u Initial Conditions: U = sin(x)

  4. Movie Initial Conditions: U = e^(x^2) U = e^(x^4)

  5. Movie Initial Conditions: U = sin(x)*e^(x^2) U = cos(x)*e*(x^2)

  6. Movie Initial Conditions: U = sin^2(x)*e^(x^2) U = cos^2(x)*e^(x^2)

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