Differential equations program

  • Ordinary differential equations, Runge-Kutta method,chapter 8
  • Ordinary differential equations with boundary conditions: one-variable equations to be solved by shooting and Green's function methods, chapter 9
  • We can solve such equations by a finite difference scheme as well, turning the equation into an eigenvalue problem. Still one variable. Done in projects 1 and 2.
  • If we have more than one variable, we need to solve partial differential equations, see Chapter 10
The material on differential equations is covered by chapters 8, 9 and 10. Two of the final projects deal with ordinary differential equations.