Ordinary Differential Equation Toolbox: ODEbox Version 1.0 by Matthew Harker, Paul O'Leary,

This is a toolbos for the solution of ordinary differential equations including IVPs and BVPs. (ode, ivp, bvp)

eulerODE01(x,y)

eulerODE03(x,y)

eulerODE04(x,y)

Using Analytical Tools to Gain Insight and Speed-up Num. Analysis in MATLAB & Symbolic Math Toolbox by Deepak

files from the webinar (symbolic, eigenvalues, poles)

JetThrust(t)

Mass(time, rocketStartTime, engineOffTime)

aerodynamicDrag(v)

New ODE and DAE Solver by John Hedengren

Differential and algebraic equation solver for high-index, stiff, and mixed-integer systems. (optimization, simulation, demo)

apm(server,app,aline)

apm_get(server,app,filename)

apm_info(server,app,class,name)

Nested function, graphical user interface (GUI) and GUIDE tool by Bogumila & Zbigniew MROZEK

Nested function helps tuning 2-nd order oscilator: d2x/dt2 + beta*x + x = 0 with interactive GUI. (demo, gui, modeling)

oscillator.m

Vectorized Picard-Chebyshev Method by Darin Koblick

Vectorized Picard-Chebyshev Method used for the analysis of the 2012 ASME Conference paper 87878 (orbit propagation, kepler, picard chebyshev)

PicardChebyshevDemo()

VMPCM(ode,tau,x_guess,omega1,omega2,errTol,varargin)

keplerUniversal(r0,v0,t,mu)

Simscape Language: Van Der Pol’s Equation by Steve Miller

Simscape language example showing how to implement and solve a nonlinear second-order ODE. (simscape, simscape language, ode)

Van_Der_Pol_SS

Gauss-Jackson Eighth-Order ODE Solver (Fixed Step Size) by Darin Koblick

Gauss-Jackson Eight-Order MultiStep Predictor-Corrector using ODE113 in its startup procedure. (force model, gj, propagator)

GJ8(FirstOrderODE,SecondOrderODE,tspan,h,y0,dy0,ddy0,option...

GJ8_Demo()

keplerUniversal(r0,v0,t,mu)

RKN1210 - A 12th/10th order Runge-Kutta-Nystrom integrator by Rody Oldenhuis

Integrator for second-order ODE's with very stringent error tolerances. (accuracy, secondorder ode, rungekuttanystrom)

rkn1210(funfcn, tspan, y0, yp0, options)

rkn1210_DEMO

odesplit by Richard Crozier

Splits evaluation of a system of differential equations into chunks to avoid out of memory errors (ode, split)

odesplit(odefcn, odeevfcn, tspan, y0, odeoptions, spfcn, va...

rigid(t,y)

rigidspfcn(results, sol)

ODEvu by Vladimir Bondarenko

Ordinary differential equations viewer (mathematics, gui, differential equation...)

odeModelInfo(varargin)

odevu.m

ODE Tutorial Demo by Andrew Knyazev

Advanced examples of using the MATLAB Symbolic Math Toolbox for Ordinary Differential Equations (ode, symbolic, movies)

ODEtutorial.m

Graphical User Interface for Solving Ordinary Differential Equations by Soumya Banerjee

This function solves a special set of ordinary differential equations with a GUI (gui, ode, simulation)

odesolver_outline

odecall_eclipse_tcl_jv_local(target,infected1,...

IMU ODE45 Solver by Kshitij Khode

Using ODE45 solver read from a data.mat file the accelerometer and gyroscope(body) and solve (accelelrometer, imu, ode)

FDataCallOde(t,y)

FDataCall.m

Bulirsch-Stoer Propagator/Integrator by Darin Koblick

Implementation of the Bulirsch-Stoer algorithm for purposes of numerical orbit propagation. (stk, propagator, ode)

Lorenz attaractor plot by Moiseev Igor

The Lorenz attractor visualization (plot, attractor, ode)

lorenz(rho, sigma, beta, initV, T, eps)

Tutorial on solving BVPs with BVP4C by Jacek Kierzenka

Solving boundary value problems with BVP4C. Tutorial + Examples. (boundary value proble..., ordinary differential..., differential equation...)

bratubvp

bratubvp

bratubvp

Solution of Differential Equations with MATLAB & Simulink: Lorenz Attractor Case Study by Saurabh Mahapatra

Simulink design pattern for solving differential equations, visualize results in MATLAB graphics (differential, equation, lorenz)

lorenz_graphs(block)

lorenz_graphs_level_1(t,x,u,flag, x_initial)

lorenz_attractor

Text progress bar for ODEs by David Romero-Antequera

A simple text/console progress bar for the builtin ODE solvers (ode, solver, text)

status=odetpbar(t,y,flag)

textprogressbar(c)

double pendulum by Moshe Lindner

the function is GUI that simulate double pendulum. (pendulum, runge kutta, physics)

double_pendulum(varargin)

secant method in nonlinear ode by Kalyan Bhattacharjee

this will find the solution of U''=k*U*U' by using taylor series 3rd order and secant method (simulation, taylor, ode)

math1.m

secant.m

getODEderivatives() by Luca Cerone

Get derivatives of an ODE syste, (ode, ode system, derivatives)

dydt=getODEderivatives(t,y,odehandler)

ODE2STAB by Francisco de Castro

Integrates systems of differential equations until stability is reached (or time is over) (ode, ode45, ode solver)

ode2stab(odesolver,odefile,tspan,Y0,tchunk,maxcv)

Program to Solve initial value problems by various methods by Daniel Klawitter

initial value problem solver enter >>IVPsolve to start (linear multistep meth..., ode, runge kutta)

Error.m

IVPsolve.m

get_SETTINGS.m

GUI tool for ODE solving by Max Logunov

GUI provides friendly interface for solving (noisy) ODE systems. (differential equation..., ode, gui)

Y=tmp_sys(t,X);

ode_solver(varargin)

uigetfile2(varargin)

ODE Solver through Galerkin Method by Marcos Cesar Ruggeri

This program solves Ordinary Differential Equations by using the Galerkin method. (galerkin, approximation, differential equation...)

[approx,exac,err]=odegalerkin(poly,cc,n)

MATLAB in Physics - Symbolic Computation and Differential Equations by Matt McDonnell

The fourth lecture in a series on using MATLAB in undergraduate physics courses. (simulation, oop, object oriented progr...)

centralPotentialODE(stateVect,charges,p,polarity,masses)

selectPathData(h,x,y,t,tSet,rangeFraction)

LorentzAttractor

4 wheel vehicle simulation with simulink (simmechanics) by morteza ahmadi

in this project you can see the simulation of one car (mechanics, amirkabir university, ode)

load_var

vehicle

4 wheel vehicle simulation with ode by morteza ahmadi

In this project you can see the simulation of one car (amirkabir university, tire, vehicle)

Dasslc Mex file compilation to Matlab 5.3 and 6.5! by Giovani Tonel

I have compiled a Dasslc solver version (MATLAB MEX INTERFACE), in order to use with Matlab (version (differential equation..., dasslc, dae)

[PD,ires]=jacpend(t,y,yp,cj,rpar)

[res,ires]=dydt(t,y,yp,rpar)

[res,ires]=dydt1(t,y,yp)

Systems Biology Tool Box ODE Generator by Ilya Chorny

Utility to generate ODEs from and xml file generated by sbiodesktop (biotech, pharmaceutical, ode)

create_ODEs.m

Dassl Mex file compilation to Matlab 5.3 and 6.5! by Giovani Tonel

I have compiled a Dassl solver version (MATLAB MEX INTERFACE), in order to use with Matlab (version (dassl, interface, dae)

dxdt(t, x, rpar)

dydt(t, y, yp, rpar)

run_Dassl_test_problem.m

Designing Algorith and Programation Of Cardiac Software Guide with Mat Lab by Dit Papa Lamine NDao

it is a project design of algorith and programation of a guide computing the symbolic model pacemake (simulation, ode, periodic solution)

Cardiac-Simulink with Model Pacemaker VI1 Of Cardiac Cells by Dit Papa Lamine NDao

application simulink to model pacemaker VI1 of all cardiac cells (cardiac cells model, ode, simulink)

heartS1VI1

M-File Application OF Model Pcemaker VI1 of Cardiac Cells With Runge Kutta 4 by Dit Papa Lamine NDao

it is M-file of runge kutta 4 of model pacemaker VI1 for all the cardiac cells parametrized (simulation, runge kutta 4, ode)

v=model1VI1

Circadian Clock Model Visualisation Tools by Paul Brown

Moving 2/3D plots and network diagram of an ode model of the circadian clock gene network (medical, biosimulation, ode)

locke_05b_network(mode)

locke_05b_plot(mode)

ROCK4 by Gerd Steinebach

explicit solver for stiff equations (differential equation..., ode, solver)

rock4(fcn,tspan,y0,options)

RODASP by Gerd Steinebach

RODASP is a fourth order ROW-method for solving ODEs y'=f(t,y) and Index-1 DAE problems M y' = f(t,y (differential equation..., ode, dae)

rodasp(fcn,tspan,y0,options,solver)

ODE Progress Bar and Interrupt by Tim Franklin

ODE integration progress bar, interrupt control and estimated time to completion (differential equation..., simulation, status)

[]=main()

[value,isterminal,direction]=odeabort(t,S,varargin)

odeprog(t,y,flag,varargin)

Simulating ODEs with S-Functions, step by step by Jos van Schijndel

This application shows how models based on a system of ODEs are simulated. (simulink, ode, sfunction)

simconsfun1(t,x,u,flag)

simconsfun2(t,x,u,flag)

xdot=simcondvfun(t,x)

Solving ODEs with Matlab by Skip Thompson

Example programs from book. (mathematics, ordinary differential..., ode)

[0; 0];

batonode

ch1ex1(void)

Excel Builder Demo: Bouncing Ball Demo using ODE Solvers by Amit Jain

Shows how to compile a function that simulates a bouncing ball into an Excel COM object. (external interface, matlab, excel)

COM Builder: Bouncing Ball Demo using ODE Solver by Amit Jain

Shows how to compile a function that simulates a bouncing ball into a generic COM object. (ode, builder example, com)

Modeling of Process in Controlled Chemostat by Andrey Egin

Modeling of the chemostat described of system ODE by Michaelis-Menten. (differential equation..., chemostat, michaelismenten)

[y]=Chemos(U0, Um, w, So, X1o, X2o, D, a1, a2, m1, m2, T0, ...