| Package | Description |
|---|---|
| dev.nm.analysis.differentialequation.pde.finitedifference.hyperbolic.dim2 |
| Class and Description |
|---|
| WaveEquation2D
A two-dimensional wave equation is a hyperbolic PDE that takes the following form.
\[
\frac{\partial^2 u}{\partial t^2}
= \beta (\frac{\partial^2 u}{\partial x^2} + \frac{\partial^2 u}{\partial y^2})
\]
with fixed boundary condition, that is,
\[
u(t, 0, 0) = u(t, a, 0) = u(t, 0, b) = u(t, a, b) = 0
\]
and two initial conditions, namely \(u\) and its first time derivative \(u_t\):
\[
u(0, x, y) = f(x, y), 0 < x < a, 0 < y < b \\
u_t(0, x, y) = g(x, y), 0 < x < a, 0 < y < b
\]
|
Copyright © 2010-2026 NM Group. All Rights Reserved.