MATLAB Function Reference    

Nonlinear Numerical Methods

Ordinary Differential Equations (IVP)

deval Evaluate solution of differential equation problem
ode113 Solve non-stiff differential equations, variable order method
ode15s Solve stiff ODEs and DAEs Index 1, variable order method
ode23 Solve non-stiff differential equations, low order method
ode23s Solve stiff differential equations, low order method
ode23t Solve moderately stiff ODEs and DAEs Index 1, trapezoidal rule
ode23tb Solve stiff differential equations, low order method
ode45 Solve non-stiff differential equations, medium order method
odeget Get ODE options parameters
odeset Create/alter ODE options structure

Delay Differential Equations

dde23 Solve delay differential equations with constant delays
ddeget Get DDE options parameters
ddeset Create/alter DDE options structure

Boundary Value Problems

bvp4c Solve two-point boundary value problems for ODEs by collocation
bvpget Get BVP options parameters
bvpset Create/alter BVP options structure
deval Evaluate solution of differential equation problem

Partial Differential Equations

pdepe Solve initial-boundary value problems for parabolic-elliptic PDEs
pdeval Evaluates by interpolation solution computed by pdepe

Optimization

fminbnd Scalar bounded nonlinear function minimization
fminsearch Multidimensional unconstrained nonlinear minimization, by Nelder-Mead direct search method
fzero Scalar nonlinear zero finding
lsqnonneg Linear least squares with nonnegativity constraints
optimset Create or alter optimization options structure
optimget Get optimization parameters from options structure

Numerical Integration (Quadrature)

quad Numerically evaluate integral, adaptive Simpson quadrature (low order)
quadl Numerically evaluate integral, adaptive Lobatto quadrature (high order)
dblquad Numerically evaluate double integral
triplequad Numerically evaluate triple integral

  Coordinate System Conversion Specialized Math