Differential Equations

Modules

 

Calculus and Fundamentals
  1. Calculus Review
  2. Maclaurin and Taylor Series

 

Solution of Differential Equations
  1. Euler's Method for ODE's
  2. Taylor Series Method for ODE's
  3. Runge-Kutta Method
  4. Runge-Kutta-Fehlberg Method
  5. Adams-Bashforth-Moulton Method
  6. Milne-Simpson's Method
  7. Predictor-Corrector Methods
  8. Shooting Methods for ODE's
  9. Finite Difference Method for ODE's
  10. Lotka-Volterra Model
  11. Pendulum
  12. Projectile Motion
  13. Lorenz Attractor
  14. Harvesting Model
  15. Compartment Model
  16. Earthquake Model
  17. Frobenius Series Solution
  18. Picard Iteration
  19. Spring-Mass Systems

 

 Solution of Partial Differential Equations

  1. Finite Difference Method
  2. Crank-Nicolson Method
  3. Elliptic PDE's

 

 

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(c) John H. Mathews 2005