Ordinary Differential Equations

• Programs in Category Ordinary Differential Equations
  
  

  Title Summary Primary Author Date SimFluid in order O(N*log(N)) SimFluid simulates various fluid processes by using the frog-leap method. Order improved to O(N*log(N)). Pascal Maerkl 2006-02-10 Andrews' Squeezer Mechanism Matlab code of the well-known test example for a multibody mechanism (index-1 formulation). Andreas Klimke 2004-02-07 Arenstorf orbits Solution of the ODE arising from the three body problem via an adaptive RK4(3) scheme. Bernd Flemisch 2002-10-28 Basketball Free Throw Simulates the impact of different model parameters like gravitation and rotation to free throws. IANS 2008-06-18 Cooling ODE Solve the differential equation given by Newton's law of cooling Andreas Klimke 2002-07-04 Coulomb ODE Solve the ODE of a spring-mass-system attached to a wall with the object gliding over a rough surface. Andreas Klimke 2002-07-17 Coulomb ODE with GUI Solution of a harmonical oszillator with Coulomb friction using different methods for various step sizes. Stefan Hueeber 2002-10-25 equation GUI A simple GUI for ODE and PDE problems giancarlo zaccone 2006-04-18 Europa Orbit Simulation Numerical gravity model of the Jovian system, focused on a satellite orbit around Europa, one of the moons of Jupiter. Eros Team EROS 2007-06-14 FEM for solid mechanics with MATLAB The Finite Element Analysis program for solid mechanics with simple user-friendly interface with MATLAB. Anton Zaicenco 2006-05-06 Foucault Pendulum Foucault Pendulum differential equation and solution Ahmad Kolahi 2005-07-26 Implicit vs. Explicit Euler Compares implicit and explicit Euler's method for the spring-mass-system differential equation Andreas Klimke 2002-07-05 Lorenz Model GUI GUI to animate the solution of the "Lorenz Model". IANS 2004-04-23 Mass Oscillator Visualizes the oscillation of a coupled system with two springs. IANS 2007-04-13 ODE Files Collection A collection of m-files dealing with ordinary differential equations. Christof Schuette 2003-04-30 Oregonator implementaion of Belousov-Zhabotinski-reaction Rolf Krause 2002-08-02 Rotation Symmetric Minimum Area This program computes a rotation symmetric minimum area with a Finite Difference Scheme an the Newton method. Stefan Hueeber 2004-03-05 Runge-Kutta 4 for systems of ODE Function rk4_systems(a, b, N, alpha) approximates the solution of a system of differential equations, by the method of Runge-kutta order 4. a and b are the endpoints of the interval, N the number of subdivisions, and alpha the initial conditions Alain Kapitho 2006-01-20 Runge-Kutta method of order 4 Given an initial-value problem of the form y' = f(t,y), function runge_kutta4(a, b, N, alpha) approximates its solution in the interval [a; b] using the Runge-Kutta method of order 4. Alain Kapitho 2006-01-11 Schroedinger Solve Schroedinger equation for some sample molecules Ahmad Kolahi 2005-06-25 SimFluid SimFluid simulates various fluid processes by using the frog-leap method. Michael Speck 2004-05-07 SimFluid in order O(N) SimFluid simulates various fluid processes by using the frog-leap method. Order improved to O(N). Pascal Maerkl 2006-02-10 simple pendulum ODE The linearization of the simple pendulum ODE is only a good approximation for small angles. IANS 2009-12-02 Spring-Mass-System ODE Solution of the spring-mass-system using Matlab's ode45 solver. Andreas Klimke 2002-07-05 Stability Domains GUI for plotting the stability domains of the most common ODE solvers. Bernd Flemisch 2003-02-03 Stiff Beam GUI This GUI demonstrates the solution of the ordinary differential equation system of a vibrating stiff beam using different methods. Stefan Hueeber 2004-02-04 Three-body system (3D) GUI to animate the solution of the three-body system in 3D. IANS 2009-07-28 Van der Pol ODE Solution of van der Pol's equation using the classical Runge-Kutta-Method of order 4, level 4. Andreas Klimke 2002-07-04 Vanderpol ODE with GUI Solution of van der Pol's equation using different methods for various step sizes. Stefan Hueeber 2002-10-25 Vibrating String GUI This GUI demonstrates the behavior of a vibrating string with different initial conditions. Three different solvers are used. IANS 2004-01-13 Wave Propagation Solves the wave equation using a reproducing kernel particle method. IANS 2006-02-02

• Exercises in Category Ordinary Differential Equations
  
  

  Title Summary Primary Author Date Adams-Bashford Method Implementation of the Adams-Bashford method IANS 2005-03-07 Crank-Nicolson Method Implementation of the Crank-Nicolson method for a cooling body. IANS 2005-03-07 Harmonische Schwingung mit ode45 Harmonische Schwingung mit ode45 loesen IANS 2008-09-23 Predictor-Corrector Method Implementation of the predictor-corrector (or Adams-Bashford-Moulton) method IANS 2005-06-17 Runge-Kutta Solver Implementation of the 3/8 Runge-Kutta method IANS 2005-03-07 Runge-Kutta with Step-Size Control Implementation of an explicit solver with step-size control IANS 2005-06-17 Stability in a Simple ODE Implementation of a simple ODE and the corresponding Runge-Kutta solver IANS 2005-03-07 Steife Differentialgleichung Van-der-Pol-Gleichung als Beispiel einer steifen DGL IANS 2008-09-23