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Chemical Reaction9 years ago
Build the Reaction class with a RK4 solver | Run the application ReactionApp
Comparison of ODE solvers9 years ago
Build the ODE class (without class accumulator) | Comparison of solutions: RK45 vs analytical solution | Build and run the application ComparisonRK45App | Storing the number of counts in a class environment object
Error vs step size with Euler method9 years ago
A challenge | Build the ODE solver | Calculate the error for each step size | Plot the errors vs step size | Plot the number of steps vs. step size
Falling Particle ODE9 years ago
The FallingParticleODE class using the Euler ODE solver | Build the FallingParticleODE class | Run the application FallingParticleODEApp
Kepler. Interaction between two planets9 years ago
The Kepler class | Run the application KeplerApp
Muskat Material Balance9 years ago
Muskat's Material Balance Equation | Solving the 1st Order Differential Equation (ODE) | Building the ODE for Material Balance | Implementing the Euler solver | Summary table | Solve Muskat's Equation using Runge-Kutta | Using a solver factory | Euler | Euler-Richardson | Runge-Kutta | Runge-Kutta 45 | What about doing all in one step | Plot the error of the solvers | Plot RK4 vs RK45 | Exercise: Using the ODE Solver RK4, find the saturation value at pressure of 3 with a time step 0.05
Pendulum with Euler-Richardson ODE solver9 years ago
Define the ODE Solver: Pendulum with Euler-Richardson ODE solver | Run the application PendulumApp
Planet orbiting with Euler ODE solver9 years ago
Build the class Planet with the Euler ODE solver | Run the application PlanetApp
Projectile with RK4 solver9 years ago
Build the Projectile class with RK4 solver | Run the application ProjectileApp