Introduction to Nondimensionalization
Nondimensionalization is a simple, but exceedingly useful tool that helps you reduce differential equations to their natural forms. It helps you 'get rid of' unnecessary parameters, and lets you zero in on what's important. In this video, I show the basic technique behind nondimensionalization and supplement that technique with a useful example.
Questions? Let me know in the comments.
Prereqs: Basic (1st-order) ODEs. In fact, you may not even need this since we're not solving any ODEs. We're only doing algebra to make ODEs more simple.
Lecture Notes: https://drive.google.com/file/d/0B_urJu4cgDhMYmEtNHNrMDdsbGM/view?usp=sharing&resourcekey=0-Sd2mQGYkHmUKB2vp4lwLYw
Patreon Link: https://www.patreon.com/user?u=4354534
Видео Introduction to Nondimensionalization канала Faculty of Khan
Questions? Let me know in the comments.
Prereqs: Basic (1st-order) ODEs. In fact, you may not even need this since we're not solving any ODEs. We're only doing algebra to make ODEs more simple.
Lecture Notes: https://drive.google.com/file/d/0B_urJu4cgDhMYmEtNHNrMDdsbGM/view?usp=sharing&resourcekey=0-Sd2mQGYkHmUKB2vp4lwLYw
Patreon Link: https://www.patreon.com/user?u=4354534
Видео Introduction to Nondimensionalization канала Faculty of Khan
Показать
Комментарии отсутствуют
Информация о видео
Другие видео канала
Mathematical model of epidemics: Development and Analysis (2/2)Length Contraction in Special RelativityProblem 3: Thresholds, Inactivation, and Dendrite Length ConstantsDynamical Systems on a Circle | Nonlinear DynamicsReal Analysis: The Natural Numbers and Mathematical InductionOld Channel IntroductionPotentials and Impossibility of Oscillations | Nonlinear DynamicsProblem 2: Action Potentials, Channel Inactivation and Refractory PeriodThe Vertebrobasilar Circulation | NeurologyThe Faculty of Khan's 10,000 subscriber Q and A!Real Analysis: Introduction to FunctionsIntroducing Weird Differential Equations: Delay, Fractional, Integro, Stochastic!Transcritical Bifurcations | Nonlinear Dynamics and ChaosClosed Curves and Periodic Curves | Differential Geometry 4Basic Linear Algebra Concepts for TensorsLagrange Equations: Multiple Particles and ConstraintsThe Material Derivative | Fluid MechanicsSupercritical and Subcritical Pitchfork Bifurcations | Nonlinear Dynamics and ChaosDynamical Systems: Definitions, Terminology, and AnalysisLaplace's Method and the Stirling ApproximationIntroduction to Operators in Quantum Mechanics