Introducing the Wave Equation: Derivation and Intuition @FacultyofKhan
Introducing the Wave Equation: Derivation and Intuition  @FacultyofKhan
Uploaded July 2017 | Updated September 2026, 2 weeks ago
In this video, I introduce the Wave Equation. I carry out a derivation of the Wave Equation for a 1-D string by using force balances and applying a small amplitude approximation. I also give some of the intuition of the wave equation to give a better idea of what it means, kind of like what I did with the Heat Equation here: youtube.com/watch?v=FUX-scnhpaw

Questions/requests? Let me know in the comments!

Prereqs: The first two videos in this playlist help because you obviously have to know what PDEs/Partial Derivatives are, but not much background Math is necessary: youtube.com/playlist?list=PLdgVBOaXkb9Ab7UM8sCfQWgdbzxkXTNVD

Lecture Notes: drive.google.com/file/d/0BzC45hep01Q4TXJmT2ZsU0U4djA/view?usp=sharing&resourcekey=0-I9sDDfswIjJbp7ty1r17cg
Patreon Link: patreon.com/user?u=4354534
Twitter: twitter.com/FacultyOfKhan

Special thanks to my Patrons: Jacob Soares
Introducing the Wave Equation: Derivation and IntuitionDeriving the Schwarzschild Metric: Computing the Ricci Tensor | General RelativityIntroducing 4-vectors in Special RelativityLength Contraction in Special RelativityReal Analysis Introduction: Sets and Set OperationsThe Metric of Flat Spacetime: Introducing the Minkowski MetricThe Time-Independent Schrodinger EquationRouches Theorem and the Fundamental Theorem of AlgebraHow to Solve the Wave Equation for a Finite Domain | Part 1/2 | Partial Differential EquationsIntroduction to PDEs: Solutions and Auxiliary ConditionsPosition and Momentum from Wavefunctions | Quantum MechanicsAnalyzing Fixed Points and Phase Portraits of a 2-D Dynamical System | Nonlinear Dynamics
Faculty of Khan |

Introducing the Wave Equation: Derivation and Intuition

SHARE TO X SHARE TO REDDIT SHARE TO FACEBOOK WALLPAPER