Ordinary Differential Equations

Graphical user interface (GUI) is used to solve up to two ordinary differential equations (ODEs). Results can be plotted easily. Choose between MATLAB's ode45 (non-stiff solver) or ode15s (stiffer solver).This is primarily a teaching tool. 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

Maxima is a system for the manipulation of symbolic and numerical expressions, including differentiation, integration, Taylor series, Laplace transforms, ordinary differential equations, systems of linear equations, polynomials, and sets, lists, vectors, matrices, and tensors. Maxima yields high... Platforms: Mac, Linux

Maxima is a system for the manipulation of symbolic and numerical expressions, including differentiation, integration, Taylor series, Laplace transforms, ordinary differential equations, systems of linear equations, polynomials, and sets, lists, vectors, matrices, and tensors. Maxima yields high... Platforms: Windows

Minsky enables the simulation of economics models defined in terms of couple ordinary differential equations. The models are defined using a drawing canvas (rather like VisSim), and a double entry bookkeeping system known as a Godley table. Platforms: Windows, Mac, BSD, Linux

Assimulo is a Cython/Python based simulation package for solving explicit ordinary differential equations (ODEs) and implicit ordinary differential equations (DAEs). The idea with Assimulo is to create a basis for simulating differential equations and to be easily extended with other solvers.... Platforms: *nix

The program PEEI 3.0.0.0 calculates a numerical solution of almost all the systems of partial differential equations who have number of equations equal or greater of the number of unknown functions. Platforms: Windows

Python Stencil Environment also know as PySE is a new python library for solving Partial Differential Equations with the Finite Difference Method (FDM). This is still a quite new library, and the current release must be considered as beta software. It is quite rough around the edges,... Platforms: *nix

Gerris project is an Open Source Free Software library for the solution of the partial differential equations describing fluid flow. Gerris is supported by NIWA (National Institute of Water and Atmospheric research) and by the Marsden Fund of the Royal Society of New Zealand. The code is... Platforms: *nix

This function solves the linear fractional-order differential equations (FODE) with constant coefficients. The short memory principle has not neen used here, so the length of input signal is limited to few hundred samples. The parameters of the FODE (in its standard form) are the inputs of this... Platforms: Matlab

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

DOLFIN is the C++/Python interface of FEniCS, providing a consistent PSE (Problem Solving Environment) for ordinary and partial differential equations. Features * Simple, consistent and intuitive object-oriented API in C++ or Python * Automatic and efficient evaluation of finite element... Platforms: *nix

WDSolve is a black box solver for nonlinear hyperbolic partial differential equations. WDSolve is based on the Wave Digital method, leading to explicit finite difference schemes with superior stability properties. Platforms: Windows

the function is GUI that simulate double pendulum by using 4th-order Runge-Kutta algorithm for the differential equations.the differential equation are very similar to eq. (12) and (13) here:http://home1.fvcc.edu/~dhicketh/DiffEqns/spring09projects/LauraStickel/Double%20Pendulum.pdf Platforms: Matlab

libSDE is a Java library to simulate Stochastic Differential Equations (SDEs). Platforms: Mac

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

20-sim is an advanced modeling and simulation package for Windows. With 20-sim you can simulate the behavior of dynamic systems, such as electrical, mechanical and hydraulic systems or any combination of these. 20-sim models may use iconic diagrams, bond graphs, block diagrams as well as... Platforms: Windows

PETSc is a suite of data structures and routines for the scalable (parallel) solution of scientific applications modeled by partial differential equations. PETSc library employs the MPI standard for all message-passing communication. PETSc is easy to use for beginners. Moreover, its careful... Platforms: *nix

Radial++ is a C++ template library for scattered data interpolation in any dimension and also the numerical solution of partial differential equations. It provides generalized Radial Basis Functions (p.e. multiquadric, this-plate spline, etc). Platforms: Mac, BSD