Training Multiphysics Differential Equations

Multiphysics Differential Equations

Differential Equations
Advanced 150 minutes 5 lessons
Coupled ODE/PDE systems where two or more physical domains interact: mechanical–mechanical, electromechanical, thermo-chemical, and reaction–diffusion.

Learning Objectives

  • Formulate matrix-form ODEs for coupled mass–spring systems
  • Apply the electrical–mechanical analogy to build coupled RLC + motor models
  • Use Péclet, Lewis, and Damköhler numbers to classify heat-and-mass transport
  • Derive blocked-force / free-displacement lines for piezoelectric actuators
  • Recognize reaction–diffusion systems and compute Fisher wave speeds

Lessons

1
Coupled Mass–Spring–Damper Systems
30 min
2
RLC Circuits & Electromechanical Coupling
30 min
3
Coupled Heat & Mass Transfer
30 min
4
Piezoelectric & Electromagnetic Actuators
30 min
5
Reaction–Diffusion Systems
30 min

Quick Practice

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