Ordinary Differential Equations
The Ordinary Differential Equation (ODE) solvers in MATLAB® solve initial value problems with a variety of properties. The solvers can work on stiff or nonstiff problems, problems with a mass matrix, differential algebraic equations (DAEs), or fully implicit problems. For more information, see Choose an ODE Solver.
Objets
ode | Ordinary differential equations (depuis R2023b) |
odeMassMatrix | ODE mass matrix (depuis R2023b) |
odeJacobian | ODE Jacobian matrix (depuis R2023b) |
odeEvent | ODE event definition (depuis R2023b) |
ODEResults | Results of ODE integration (depuis R2023b) |
Fonctions
Rubriques
- Choose an ODE Solver
ODE background information, solver descriptions, algorithms, and example summary.
- Summary of ODE Options
Usage of
odeset
and table indicating which options work with each ODE solver. - ODE Event Location
Detect events during solution of ODE.
- Solve Nonstiff ODEs
This page contains two examples of solving nonstiff ordinary differential equations using
ode45
. - Solve Stiff ODEs
This page contains two examples of solving stiff ordinary differential equations using
ode15s
. - Solve Differential Algebraic Equations (DAEs)
Solve ODEs with a singular mass matrix.
- Nonnegative ODE Solution
This topic shows how to constrain the solution of an ODE to be nonnegative.
- Troubleshoot Common ODE Problems
FAQ containing common problems and solutions.