Chebpack by Damian Trif

The MATLAB package Chebpack solves specific problems for differential or integral equations. (mathematics, differential equation..., integral equations)

A=fact(a,m)

B=Ex4_delay_main

D=deriv(n,dom)

Collocation-based spectral-element toolbox by Nathaniel Jewell

Functions and example codes for a collocation spectral-element scheme (Chebyshev or Legendre) (numerical, spectral, pseudospectral)

...

...

[x,D]=legDc(N);

3D heattransfer software by morteza ahmadi

3D heattransfer software (heat transfer, temperature constant, convection)

heat_transfer(varargin)

Chebfun by Chebfun Team

Numerical computation with functions instead of numbers. (chebfun, approximation, interpolation)

A greedy algorithm for choosing interpolation points

A keyhole contour integral

A parameter dependent ODE with breakpoints

ODEvu by Vladimir Bondarenko

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

odeModelInfo(varargin)

odevu.m

FEM toolbox for solid mechanics by Anton Zaicenco

The finite element toolbox for solid mechanics with GUI. (modal analysis, solid mechanics, dynamics)

BRICK_stress (in_data, resp)

BRICK_stress_main (in_data, SIGsys)

CST_CSQ_stress (in_data,resp)

Shooting method by Martin V.

The implementation of shooting method. It uses the interval bisection and Runge-Kutta method. (boundary value proble..., numerical mathematics, differential equation...)

RungeKutta(a,b,h,con,fun)

fce(x,y)

shooting_method(fun,h,zero,a,b,con,type,init)

Ecuaciones Diferenciales y de Diferencias by Roberto Herrera

Solución de ecuaciones diferenciales en forma simbólica y de diferencias en gráfica y simbólica (mathematics, fourier, dirac)

ecuadiferedydiferen.m

Manuscript of 'Solving Index-1 DAEs in MATLAB and Simulink' by Jacek Kierzenka

Manuscript of the SIAM Review paper + M-files for all examples. (differentialalgebraic..., differential equation..., dae)

ex1

ex1

ex10

Tutorial on solving DDEs with DDE23 by Jacek Kierzenka

Solving delay differential equations with DDE23. Tutorial + Examples. (dde, mathematics, delay)

exam1

exam1

exam2

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

Stochastic Timing Machinery, Differential Equations, and Simulation by Ellis Cooper

MATLAB code for interpreting arbitrary stochastic timing machine models (langevin equation, smoluchowski equation, differential equations)

SHELFWAVES by George Kaoullas

Computes barotropic, non-divergent, continental shelf wave modes above general shelf profiles. (differential equation..., geophysical fluid dyn..., pseudospectral method...)

[E,Y,y]=shelfwaves_exactbc(N,H,g,w);

[E,Y,y]=shelfwaves_neumannbc(N,H,g,w);

SBVP 1.0 Package by Ewa Weinmueller

Solves boundary value problems, y'= f(t,y), where f may be singular. (differential equation..., ordinary differential..., boundary value proble...)

Toolbox Fast Marching by Gabriel Peyre

A toolbox for the computation of the Fast Marching algorithm in 2D and 3D. (2d, 3d, differential equation...)

Toolbox Fast Marching - A toolbox for Fast Marching and lev...

callback_active_contour(x, options)

check_face_vertex(vertex,face, options)

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)

2D Fast Poisson Solver by Harper Langston

2D Fast Poisson Solver on a Rectangular Domain (differential equation..., poisson fast solver f..., poisson solution)

Back_Solve(A,b)

Band_Solve(A,b)

Form_Boundary(x,y)

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)

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

2D fast marching algorithm by Juan Cardelino

computation of distance maps using fast marching (fast marching, algorithm, eikonal)

T=fast_marching(data_points,siz,plot)

test_fm.m

Simulation of Color Noise by Abhirup Lahiri

The function is used to simulate color noise process using Euler-Maruyama Method (color, noise, differential equation...)

colornoise(a,b,T,N)

Analog Computer using operational amplifiers by K. SUBRAMANIAN

Applications to set up Analog Computer using operational amplifiers (differential equation..., integrator, adder)

Differential_eqn

Simultaneous

Pendulum on Circular Track by Dmitry Savransky

Integrate the equations of motion for a pendulum travelling on a circular track and animate the resu (animation, example, integration)

circpendulum(t0,y0,w,r,l);

SEMLAB by Jean-Paul Ampuero

Spectral Element Method for wave propagation and rupture dynamics. (differential equation..., spectral element meth..., wave equation)

ChebyshevTools by Michael Watson

Tool box for solving ODE/PDEs using spectral Chebyshev differentiation matrices. (differential equation..., chebyshev, spectral differentiat...)

A=expD(M,ord,mod);

A_res=restrictA(A,m)

B=inv_deriv1(M);

Stochastic Differential Equation (SDE) Solutions by Abhirup Lahiri

Function used to find solutions of first two moments of LSDE (differential equation..., linear, sde)

LSDE(a,b,sigma,c,t)

Billiard Simulator by Mason Porter

A GUI to simulate billiard systems on Matlab. (differential equation..., billiards, dynamical systems)

[cx,cy,rx,ry]=ellipseparam(x,y,t0,t4)

ans=ballshit(x1,y1,a1,v1,x2,y2,a2,v2,t0,r)

billiards(varargin)

IGVF : GUI: Finite Volumen Methods for Conservation Law in 1-D by Luis Miguel Villada Osorio

IGVF is used for solving conservation laws using Central methods (differential equation..., finite volumen method..., central methodos)

z=D2flujo(u);

z=D2flujo(u);

z=D2flujo(u);

Solution of 2nd order differential equation by rayleigh ritz method by Aditya Vaidya

Solution of 2nd order differantial equation by Rayleigh Ritz method (differential equation..., rayleigh ritz, fem)

variational.m

LiScM2.0 by Damian Trif

MATLAB package for u_t+Lu=N(u,\nabla u) (lyapunovschmidt, eigenfunction expansi..., differential equation...)

T=t(x)

[A,B]=matr(m,a,b,c)

[C,X,Y,T]=coef(f,n,ep)

Generalized Laguerre polynomial by Mattthias Trampisch

LaguerreGen calculates the generalized Laguerre polynomial L{n, alpha} for real valued alphas (value, mathematics, roots)

LaguerreGen(varargin)

ODEs and DAEs of index up to 3 solvers by wu

It is so easy to use the solver such as MATLAB ODE suites. (differential equation..., daes, odes)

E5ode

adrewsdae

amp1dae

Non-homogeneous and linear-differential-equation solutions (update:13-07-07) by Ali OZGUL

homogen and non-homogen solution (differential equation..., linear differential e..., homogeneous)

example

[regsolt]=regularform(solution)

homsolution(func,flag)

Homogen Differential Equations Solving (update:27-06-07) by Ali OZGUL

homogen differential equation generally solution technique (differential equation..., homogen differential ..., mathematics)

homsolution(func)

regsolution(func)

example.m

First-Order Degree Linear Differential Equations (Integration factor Ig=x^a*y^b) (Update: 23-06-07) by Ali OZGUL

Homogeneous or non-homogeneous linear dif. eq. (differential equation..., differential equation, integration factor)

[sqn]=DIfactor(func,flag)

example.m

Jean Le Rand D'Alambert Reduction Method (update:22-06-07) by Ali OZGUL

Reduction method (differential equation..., reduction method, differential equation)

[sqn]=Dalambert(func,squ,flag)

example.m

system of equations solver by Chun Zheng

Models system of DEs(with 4th order Runga-kutta) and system of functions (differential equation..., runga, kutta)

approxPts=approxRK4(strFtn,h,ICXY,numGeneration)

listBoxGui(varargin)

nStr=modHorTxtEq(oldFtnStr,newFtnStr,caseNum)

Finite difference weights by Toby Driscoll

Finds finite difference (or interpolation) weights for an arbitrary set of nodes in one dimension. (difference, differential equation..., finite)

fdweights(xi,x,m)

Absolute Stability of an Integration Method by Housam Binous

Shows when an integration method is absolutely stable (cranknicholson, explicit euler, differential equation...)

fig4_11.m

MATLAB in Dynamics by Jordan Tonchev Jordanov

Companion Software for "MATLAB with Applications in Engineering Research" (matlab in dynamics, dynamics, differential equation...)

dinp

dtpc

dtx

2D adaptive residual subsampling for Radial Basis Functions by Alfa Heryudono

This program solves initial-boundary value problems particularly 2D Burgers' equation adaptively (burgers, differential equation..., rbf)

Jburgers(t,u,epsilon,Dx,Dy,Dxx,Dyy)

burgers(t,u,epsilon,Dx,Dy,Dxx,Dyy)

coarserefine2d(f,intrv,theta,n,topc)

Adaptive residual subsampling for Radial Basis Functions by Alfa Heryudono

This simple codes solve initial-boundary value problems particularly Burgers' equation adaptively (differential equation..., radial basis function..., rbfs)

Jburgers(t,u,epsilon,D1,D2)

burgers(t,u,epsilon,D1,D2)

burgersplot(t,y,flag,varargin,x,han)

stab_GUI by giancarlo zaccone

A simple GUI to visualize stabilization method to resolve EDP diffusion transport problem (differential equation..., edp, stabilization)

LagrPoli(xnodi,x)

[x,w]=zplege(n)

add_region(dmesh,region)

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)

Symplectic Integrators by Francisco Beron-Vera

Symplectic integrators for separable and nonseparable Hamiltonians. (symplectic, geometric, differential equation...)

[q,p]=seeq(dqdt,dpdt,tspan,q0,p0,varargin)

[q,p]=seip(dqdt,dpdt,tspan,q0,p0,varargin)

[q,p]=seiq(dqdt,dpdt,tspan,q0,p0,varargin)

LiScNLE 1.0 by Damian Trif

Matlab application for nonlinear partial differential evolution equations (differential equation..., evolution equations, chebyshevtau)

I=wip(f,g,wipr,wint,dom)

U=ICAllen(x)

U=ICBurgers(x)

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)

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)