// multi-utility computation suite · offline · instant · precise
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sci.wave-equation Calculator
Calculates wave propagation solutions for the 1D wave equation ∂²y/∂t² = v² ∂²y/∂x² for given initial and boundary conditions. The wave equation supports both left- and right-travelling solutions: y = f(x − vt) + g(x + vt) — standing waves arise when boundary conditions constrain superposition.
Inputs
F
Cycles per second (Hz). Audible sound: 20 Hz – 20 kHz. Make sure units match what the formula expects.
V
Rate of movement. 1 m/s = 3.6 km/h = 2.237 mph.
A
Maximum displacement from equilibrium. Energy carried by a wave is proportional to amplitude squared.
T
Duration of the process. Make sure units match the rate inputs (seconds, minutes, or hours).
Results
wavelength (m)
The computed linear length.
period (ms)
Reference formula or conversion factor shown for context.
angular frequency (rad/s)
Sample size or count used in the calculation.
wave number (rad/m)
Sample size or count used in the calculation.
displacement at t (mm)
ISP (specific impulse) — rocket engine efficiency in seconds. Higher ISP means more thrust per kilogram of propellant consumed.
λ = v/f
Reference formula or conversion factor shown for context.