Français
2. A hyperbolic equation: the wave equation
2.1 Vibrating string equation
This was one of the first partial differential equations to be demonstrated.
It was studied in the first half of the 18th century by d'Alembert :
where v denotes the velocity of wave propagation in the string and u (x, t ) the ordinate of the point of abscissa x on the string at time t (this ordinate being measured relative...
The Ultimate Scientific and Technical Reference
This article is included in
Mathematics
This offer includes:
Knowledge Base
Updated and enriched with articles validated by our scientific committees
Services
A set of exclusive tools to complement the resources
Practical Path
Operational and didactic, to guarantee the acquisition of transversal skills
Doc & Quiz
Interactive articles with quizzes, for constructive reading
A hyperbolic equation: the wave equation
A parabolic equation: the heat equation
References
The Ultimate Scientific and Technical Reference
