| Package | Description |
|---|---|
| dev.nm.analysis.differentialequation.pde.finitedifference.hyperbolic.dim1 |
| Class and Description |
|---|
| WaveEquation1D
A one-dimensional wave equation is a hyperbolic PDE that takes the following form.
\[
\frac{\partial^2 u}{\partial t^2} = \beta \frac{\partial^2 u}{\partial x^2}
\]
with both boundary ends fixed at 0, that is,
\[
u(t, 0) = u(t, a) = 0
\]
and two initial conditions, namely u and its first time derivative \(u_{t}\):
\[
u(0, x) = f(x), 0 < x < a \\
u_t(0, x) = g(x), 0 < x < a
\]
|
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