Ordinary Differential Equations

One of the readers who attended the introductory Simulink webinar:http://www.mathworks.com/company/events/we.../wbnr37271.htmlasked me how to implement differential equations in Simulink and visualize the results in a MATLAB plot. This demo attempts to answer those kinds of questions.Notes on... Platforms: Matlab

STIMATH is a high-level tool for mathematics, linear algebra, plotting and expression evaluation that can be used from any programming environment or even from a command line interface. It is an executable that takes a single argument, the name of a text file containing a series of MATLAB style... Platforms: Windows 7

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

LiScNLS is a MATLAB package for the numerical study of some nonlinear differential equations of the form Lu=Nu using the Lyapunov-Schmidt method. 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

In this Matlab application was perused Jean Le Rand D'Alambert's** Reduction Method for two degree of linear differential equations and several analytical examples are compared with matlab solution applications.**Jean d'Alembert was a a French mathematician who was a pioneer in the study of... Platforms: Matlab

This submission contains the basic functions that are necessary for using the matrix approach to discretization of fractional differential equations, and demos. The method is described in the following articles:[1] I. Podlubny, "Matrix approach to discrete fractional calculus", Fractional... 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

Fortran Calculus Compiler: Calculus level computer languages are Fortran Calculus and PROSE. Both languages are based on what is called "Automatic Differentiation" (AD). Calculus languages simplify computer coding to an absolute minimum; i.e., a mathematical model, constraints, and the objective... Platforms: *nix

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

yades - 'yet another differential equation solver'. This Java application solves ordinary differential equations (ODE) numerically and displays the results as tables, graphs, direction fields or vector fields. Platforms: Windows, Mac, Linux

The main goal of this demo is to show how you can improve your visualization and understanding of a dynamic system that has simple second order differential equations but complex to visualize due to switching between them. By using 3D animation, you can get a much better understanding of the... Platforms: Matlab

MATLAB in Physics is a four lecture series in MATLAB that is offered to first year physics undergraduate students. This lecture shows how to use MATLAB to simulate physical systems using a range of methods. Projectile motion is analysed using the Symbolic Math Toolbox, then more complicated... Platforms: Matlab

The project discusses the problematics of making a system of differential equations describing the transition processes in the operation of resistance furnaces, their realization through digital methods and the analysis of the achieved results. Solving of the problem thus formulated is carried... Platforms: Matlab