Solving Differential Equations

ode86 Integrates a system of ordinary differential equations of the formdy/dx=f(x,y), y(x0)=y0,using a 12-stages, 8th and 6th order Runge-Kutta pair of formulas. The method advances using the higher order formula (using local extrapolation).The results are expected to be better than ODE45 for... Platforms: Matlab

This demo shows examples of using the MATLAB Symbolic Math Toolbox for Ordinary Differential Equations (ODE). The examples range from relatively basic to rather advanced, and are placed according to the topics, as traditionally covered in undergraduate ODE classes.The recommended use of this... Platforms: Matlab

Occasionally I have had to solve large systems of differential equations which result in matlab running out of memory during evaluation. Odesplit breaks up the simulation period into a series of chunks to ease this problem. At each split point in the evaluation a function specified by the user is... Platforms: Matlab

The Fixed Torque Dynamo and Motor Model solves the coupled differential equations for an electric motor driven by a dynamo (generator). The model can be used as to illustrate elementary instabilities or bifurcations discussed in courses about nonlinear oscillators and dynamical systems. When the... Platforms: Mac

chemfem is a high order finite element method that can solve general partial differential equations and the reacting Navier Stokes equations in particular. Features . 2D PDE solver . Unstructured meshes . Higher order finite elements . Galerkin and Least squares, including discontinuous... Platforms: *nix

DirectMath is a mathematical word processor and easy to use front end to the Mathematica computer algebra system. DirectMath makes use of a powerful pattern matching system to anticipate the calculation you want to perform, so you don't have to learn a programming language or wade through menus... Platforms: Mac

Simulation of the trajectory of a particle in electric and magnetic field (electromagnetic field). The trajectory is calculated by computationally solving differential equations. The direction and magnitude of magnetic and electric field can be changed along with other attributes of motion.This... Platforms: Matlab

Modest Ordinary Differential Equation Library is a C++ library to model rate equations. MODEL is a numeric simulation library written during my PhD to simulate systems of rate equations describing Vertical Cavity Surface Emitting Lasers (VCSELs). I decided to write one myself after looking at... Platforms: *nix

ODEcalc for Windows: An Ordinary Differential Equation (ODE) Calculator! State your equation and boundary or initial value conditions and it solves your problem. Plots solution y and derivative ydot versus x. Solves most Boundary Value Problems (BVP) and Initial Value Problems (IVP) for... Platforms: Windows, Windows 8, Windows 7, Windows Server

ALL-IN-ONE MULTI-PHYSICS FINITE ELEMENT MODELING Ever wish there was a flexible system for solving all the partial differential equation problems that come up in science and engineering, so you didn't have to buy and learn a new software tool for each problem? Well, now your wish has come... Platforms: Windows, Mac, Linux

This tutorial shows how to formulate, solve, and plot the solutions of boundary value problems (BVPs) for ordinary differential equations.The tutorial introduces the function BVP4C (available in MATLAB 6.0 and later), briefly describes the numerical method used, and illustrates solving BVPs with... Platforms: Matlab

The program computes the residue curve map for the ternary mixture benzene-toluene-p-xylene. When you change the mouse's position, a new residue curve is computed and displayed. Residue curve maps play an important role in the conceptual design of distillation columns. The pointer's position... Platforms: Matlab

This toolbox contains the functions which can be used to simulate some of the well-known fractional order chaotic systems, such as:- Chen's system,- Arneodo's system,- Genesio-Tesi's system,- Lorenz's system,- Newton-Leipnik's system,- Rossler's system,- Lotka-Volterra system,- Duffing's system,-... Platforms: Matlab

The package LaguerreEig calculates a finite number of numerical eigenvalues and eigenfunctions of Schroedinger problems on (0,infinity) and solves linear or nonlinear differential equations on this interval. Platforms: Matlab

http://simulations.narod.ru/there are two masses connected with rod. x y dcOC describe system state. Lagrangian was made and 6 1st order differential equations to integrate numerically with Euler method.run zz_2_obj_lagrangian_test.m to see animation or here: Platforms: Matlab

The libMesh library provides a framework for the numerical simulation of partial differential equations using arbitrary unstructured discretizations on serial and parallel platforms. libMesh currently supports 1D, 2D, and 3D steady and transient finite element simulations. The library makes use... Platforms: Mac

dysii is a C++ library provides a collection of classes useful for machine learning applications. Features are added to the library as needed, so that it does lack some completeness. What is included, however, is well documented and tested, and may be considered fairly sound for research... Platforms: *nix

AUTO is a publicly available software for continuation and bifurcation problems in ordinary differential equations originally written in 1980 and widely used in the dynamical systems community. Platforms: *nix

SPECULOOS (for SPECtral Unstructured eLements Object-Oriented System)is a spectral and mortar element analysis software for the numerical solutionof partial differential equations, in particular incompressible unsteadyfluid flow problems. Platforms: *nix

ODE Module is a pro Fit module that solves initial value problems of sets of coupled first-order differential equations (up to fourteen). Systems of higher order can be reduced to sets of first-order equations. The solutions are plotted over the integration variable and against each other (phase... Platforms: Mac