Boundary Value Problems/Lesson 6
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1D Wave EquationEdit
Derivation of the wave equation using string model.
General form for boundary conditions.Edit
Wave equation with Dirichlet Homogeneous Boundary conditions.Edit
In the homogeneous problem
with ,
Finding a solution: u(x,t)Edit
Let
then substitute this into the PDE.
Where is a constant that can be positive, zero or negative. We need to check each case for a solution.
Wave Equation with nonhomogeneous Dirichlet Boundary ConditionsEdit
In the homogeneous problem
Wave Equation with resistive dampingEdit
In the homogeneous problem