Differential Equations Calculator

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...

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...

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

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

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

Analysis and simulation of orbits in the circular-restricted three-body problem (CRTBP), where primary and secondary bodies move in circular orbits about the common center of mass, and effect of gravitational attraction of the smallest body are ignored. The applications described here are for...


Platforms: Matlab

This tutorial shows how to use the MATLAB solver DDE23 to solve delay differential equations (DDEs) with constant delays. The solver is available in MATLAB 6.5 and later.The tutorial briefly discusses the differences between solving ODEsand DDEs, and describes the techniques used in DDE23. The...


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

This is a MATLAB-implementation of ROCK4 (Abdulle & Medovikov)for the numerical solution of a (mildly) stiff system of first order differential equations ODEs y'=f(t,y).ROCK4 is based on a family of second order explicit Runge-Kutta methods with nearly optimal stability domain on the negative...


Platforms: Matlab

rkn86 Integrates a special system of second order ordinary differential equations of the formd^2 y/dx^2 = f(x,y), y(x0)=y0, y'(x0)=y'0using an effectivelly 8-stages Runge-Kutta-Nystrom pair of orders 8 and 6.The method advances using the higher order formula (using local extrapolation).The...


Platforms: Matlab

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 Generalised Adaptive Fast-Fourier Evolver (GAFFE) toolbox is a framework that greatly simplifies the solution of complex partial differential equations (PDEs) in an adaptive manner.By default both the step-size and the mesh adapt to the problem at hand to optimise the speed of execution for a...


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

Ofeli (as an acronym for Open, Fast and Efficient Level set Implementation) demonstrates how to operate an image segmentation algorithm of Y. Shi and W. C. Karl |1|, using a discrete approach for the approximation of level-set-based curve evolution (implicit active contours). This is a novel...


Platforms: *nix

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

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