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  • The wave equation

The wave equation#

A plucked string: d’Alembert’s traveling-wave solution against a symplectic leapfrog finite-difference solve. An animation follows the string through one full period.

D’Alembert’s traveling waves on a plucked string

D'Alembert's traveling waves on a plucked string

Animated: a plucked string splitting, reflecting, and recombining

Animated: a plucked string splitting, reflecting, and recombining

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The Lax equivalence theorem: consistency + stability = convergence

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D’Alembert’s traveling waves on a plucked string
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