Interactive Educational Modules in
Scientific Computing

Ordinary Differential Equations

The following modules illustrate numerical methods for solving initial value problems and boundary value problems for ordinary differential equations.

Initial Value Problems Euler's Method Backward Euler Trapezoid Method Picard Iteration Runge-Kutta Taylor Series Extrapolation Collocation Predictor-Corrector Adams-Bashforth BDF Methods Stiff ODEs Error Estimation Stability

Boundary Value Problems Shooting Finite Difference Collocation Galerkin

Applications Predator-Prey Epidemic Model Lorenz System Symplectic Methods