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Ordinary Differential Equations

Ordinary differential equation initial value problem solvers

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.

Plotted solutions of two ordinary differential equation problems

Funktionen

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ode45Solve nonstiff differential equations — medium order method
ode23Solve nonstiff differential equations — low order method
ode78Solve nonstiff differential equations — high order method
ode89Solve nonstiff differential equations — high order method
ode113Solve nonstiff differential equations — variable order method
ode15sSolve stiff differential equations and DAEs — variable order method
ode23sSolve stiff differential equations — low order method
ode23tSolve moderately stiff ODEs and DAEs — trapezoidal rule
ode23tbSolve stiff differential equations — trapezoidal rule + backward differentiation formula
ode15iSolve fully implicit differential equations — variable order method
decicCompute consistent initial conditions for ode15i
odegetExtract ODE option values
odesetCreate or modify options structure for ODE and PDE solvers
devalEvaluate differential equation solution structure
odextendExtend solution to ODE

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