Second Order Differential Equations

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

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

Math Asst., Calculator, and Hypertext Notepad for Scientists and Engineers using Pocket PC 2003. Assists with calculating networks of formulae, dynamic simulation, differential and linear equation solution, multiple equations and unknowns, builtin script language. Useful for engineering and... Platforms: Windows

Math Assistant and Hypertext Notepad for Engineers and Scientists using Windows. Assists with calculating networks of formulae, dynamic simulations, equation solutions, differential, multiple equations and unknowns, with built-in script language. Useful for engineering and scientific... Platforms: Windows

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

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

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

Numerical solutions for the conversion of an isothermal axially dispersed plug flow reactor accomplishing first and second order reactions are obtained. The Danckwerts boundary conditions for the so-called "closed" configuration are used. We use the shooting method since it is a... 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

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 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

It creates blocks of surrogate data with the same second order properties as the original time series dataset by transforming the original data into the frequency domain, randomizing the phases simultaneously across the time series and converting the data back into the time domain. 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

In its simplest usage DIFFXY uses a second-order accurate scheme to approximate the derivative of a vector y with respect to a vector x. It differs from existing functions in the following ways:- returns dydx having the same size as y (unlike DIFF which reduces the dimension by 1)- special... Platforms: Matlab

This gui solves second order derivative functions given any possible boundary conditionsuppose you have a function u,xx=f.... Well this program will solve this for u(x) given multiple boundary conditions. This is something I did for school in an attempt to get extra credit for going above and... 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

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

SOLVCON is a software framework for solving hyperbolic partial differential equations (PDEs). SOLVCON uses the space-time Conservation Element and Solution Element (CESE) method for time-accurate solutions. The goal of SOLVCON is to enable high-fidelity solutions for design iterations. SOLVCON is... Platforms: *nix

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