Boundary Conditions of the Wave Equation - Partial Differential Equations | Lecture 19

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Now that we have derived a new PDE, we need to consider appropriate boundary conditions. In this lecture we discuss and derive boundary conditions for the 1-dimensional wave equation describing vibrations of a string. An interesting set of boundary conditions comes from considering one end of the string attached to a vibrating spring-mass system. In this case we find that the boundary condition becomes analogous to Newton's law of cooling for the heat equation.

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  1. Jason Bramburger
  2. partial
  3. differential equation
  4. pde
  5. ode
  6. ordinary
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would you mind helping me solving wave equation in higher dimension with initial, boundary or sourse is defined by a step function by making more video in this serie for that. I'm very comfortable with 1D-wave equations and condition is just a continous function like g(x) or h(x) but that problem makes me sick on my exam

hainguyenle