Mathieu Equation (Parametric Oscillator) by Siva Srinivas Kolukula

Numerical and phase plane analysis of Mathieu equation / parametric oscillator (rungekutta method, instability, ode45)

MathieuEquation(t,x)

ParametricOscillator.m

SpringPendulum by Siva Srinivas Kolukula

Simulation of Nonlinear Spring Pendulum (ode45, phase plane, spring pendulum)

Animation(ivp,duration,fps,movie,arrow)

Equation(t,x)

Spring.m

SimplePendulum by Siva Srinivas Kolukula

Simulation of Nonlinear Simple Pendulum (animation, sdof, simple pendulum)

Animation(ivp, duration, fps, movie, arrow)

Equation(~,x)

arrowh(x,y,clr,ArSize,Where)

Bead on a rotating hoop by Siva Srinivas Kolukula

To study the motion of a bead on a rotating hoop/wire or ring. (animation, bead on rotating hoop, nonlinear equations)

Animation(ivp, duration, fps, movie)

Equation(t,x)

BeadOnRotatingHoop.m

Spring-Mass-Damper system behavior analysis by Sulaymon Eshkabilov

Spring-Mass-Damper system behavior analysis for given Mass, Damping and Stiffness values. (control design, ode113, ode23t)

SMDode_linear(Mass,Damping, Stiffness)

SMDode Spring-Mass-Damper system behavior analysis by Sulaymon Eshkabilov

Spring-Mass-Damper system behavior analysis for given Mass, Damping and Stiffness values. (ode45, ode23tb, ode113)

SMDode(Mass,Damping, Stiffness)

Circular-Restricted Three-Body Problem (CRTBP) - Sun_Earth_Moon (using symbolic toolbox) by Nishant Gupta

Simulation the Hill’s Problem of 3-body system in MATLAB (circularrestricted th..., sun, earth)

moony(t,z)

moony2.m

Graphical ODE solver for one or two ordinary differential equations by Tingyue Gu

Graphical user interface is used to solve two ordinary differential equations. Results are plotted. (aerospace, chemistry, earth science)

ODEsolverGUI(varargin)

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)

File Exchange 2.0: Submit a File by Helen Chen

Video walkthrough of how to submit a file on the new File Exchange (video, file exchange, screencast)

SubmitFile.mp4

Differential equation solution by Qadeer Ahmed

A basic example which explains how to solve differential eq in Matlab (differential equation..., functions, ode45)

dxdt=ideal(t,x)

dxdt_solve.m

Dynamic Distillation Column by Giovani Tonel

Dynamic Distillation Column using ode45 (optimization, distillation, column)

dist_dyn(t,x);

run_dist_dyn.m

Mass-Spring Oscillator by Pedram Parchebafieh

This program solve the equation mX``+bX`+kX=F and plot x(t),v(t) and phase diagram (oscillator, differential equation..., spring)

oscillatortool(varargin)

Newton's Pendulum by Gerd Steinebach

Simulation and animation of Newton's Pendulum (differential equation..., ode45, event function)

newton_pendulum

Frenet basis for 3D torsion-curvature based curves by Paolo Panarese

Given torsion and curvature functions, it computes the curve by solving Frenet differential system. (differential equation..., frenet, basis)

frenet(curvature,torsion, T0,N0, tspan, handles)

frenetgui(varargin)

visualizefrenet(j,x,Tg,Nm,Bn,t, factor, handles)