Return to BVP main page Boundary Value Problems
1D Wave Equation
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Derivation of the wave equation using string model.
General form for boundary conditions.
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Wave equation with Dirichlet Homogeneous Boundary conditions.
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In the homogeneous problem
with
,
Finding a solution: u(x,t)
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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 Conditions
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Wave Equation with resistive damping
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In the homogeneous problem