Solving the Wave Equation with Separation of Variables and Guitar String Physics
Steve Brunton via YouTube
Overview
This course teaches how to solve the Wave Equation using separation of variables, with a focus on the physics of guitar strings for intuitive understanding. The individual skills taught include setting initial and boundary conditions, separating variables, solving ODEs for space and time, and applying the method of characteristics. The teaching method involves theoretical explanations followed by practical applications using guitar string physics. The intended audience for this course includes students and professionals interested in physics, acoustics, and related fields.
Syllabus
Introduction .
Initial Conditions and Boundary Conditions for the Wave Equation.
Separation of Variables.
Solving the ODEs for Space and Time.
General Solution of the Wave Equation.
Recap.
Guitar String Physics.
Method of Characteristics.
Taught by
Steve Brunton