| MATLAB Function Reference | |
Ordinary Differential Equations (IVP)
| ode113 | Solve non-stiff differential equations, variable order method |
| ode15i | Solve fully implicit 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 |
| odextend | Extend the solution of an initial value problem |
| odeget | Get ODE options parameters |
| odeset | Create/alter ODE options structure |
| decic | Compute consistent initial conditions for ode15i |
| deval | Evaluate solution of differential equation problem |
Delay Differential Equations
| dde23 | Solve delay differential equations with constant delays |
| ddeget | Get DDE options parameters |
| ddeset | Create/alter DDE options structure |
| deval | Evaluate solution of differential equation problem |
Boundary Value Problems
| bvp4c | Solve boundary value problems for ODEs |
| 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) |
| quadv | Vectorized quadrature |
| dblquad | Numerically evaluate double integral |
| triplequad | Numerically evaluate triple integral |
| | Coordinate System Conversion | Specialized Math | |
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