Ecuaciones diferenciales ordinarias
Los mecanismos de solución de ecuaciones diferenciales ordinarias (ODE) en MATLAB® resuelven problemas de valores iniciales con una gran variedad de propiedades. Los mecanismos de solución pueden funcionar en problemas rígidos y no rígidos, problemas con una matriz de masa, ecuaciones algebraicas diferenciales (DAE) o problemas completamente implícitos. Para obtener más información, consulte Elegir un solver de ODE.
Solucione problemas y establezca opciones con una interfaz visual con la tarea Solve ODE de Live Editor.
Objetos
ode | Ordinary differential equations (Desde R2023b) |
odeMassMatrix | ODE mass matrix (Desde R2023b) |
odeJacobian | ODE Jacobian matrix (Desde R2023b) |
odeEvent | ODE event definition (Desde R2023b) |
odeSensitivity | ODE sensitivity analysis (Desde R2024a) |
odeDelay | ODE delay definition (Desde R2025a) |
ODEResults | Results of ODE integration (Desde R2023b) |
Tareas de Live Editor
| Solve ODE | Solve system of ordinary differential equations in the Live Editor (Desde R2024b) |
Funciones
Temas
- Elegir un solver de ODE
Información contextual sobre ODE, descripciones de solver, algoritmos y resumen de ejemplos.
- Resumen de opciones de ODE
Uso de
odesety tabla que indica qué opciones funcionan con cada solver de ODE. - Ubicación de eventos de EDO
Detecte eventos durante la solución de EDO.
- Resolver ecuaciones diferenciales ordinarias (ODE) no rígidas
Esta página contiene dos ejemplos de resolución de ecuaciones diferenciales ordinarias no rígidas con
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.
Información relacionada
Ejemplos destacados
Resolver ecuaciones presa-depredador
En este ejemplo se muestra cómo resolver una ecuación diferencial en la que se representa un modelo presa-depredador utilizando métodos de integración Runge-Kutta de tamaño de paso variable. El método ode23 utiliza un par de fórmulas de segundo y tercer orden para obtener una precisión intermedia y el método ode45 utiliza un par de cuarto y quinto orden para obtener una mayor precisión.
Solve Equations of Motion for Baton Thrown into Air
Solves a system of ordinary differential equations that model the dynamics of a baton thrown into the air [1]. The baton is modeled as two particles with masses and connected by a rod of length . The baton is thrown into the air and subsequently moves in the vertical xy-plane subject to the force due to gravity. The rod forms an angle with the horizontal and the coordinates of the first mass are . With this formulation, the coordinates of the second mass are .
Sensitivity Analysis of Epidemic ODE Parameters
Perform sensitivity analysis on the parameters of an ordinary differential equation (ODE) system that models the spread of a disease in an epidemic.
Solve Celestial Mechanics Problem with High-Order Solvers
Use ode78 and ode89 to solve a celestial mechanics problem that requires high accuracy in each step from the ODE solver for a successful integration. Both ode45 and ode113 are unable to solve the problem using the default error tolerances. Even with more stringent error thresholds, ode89 performs best on the problem due to the high accuracy of the Runge-Kutta formulas it uses in each step.
Solve Stiff Transistor Differential Algebraic Equation
Solve a stiff differential algebraic equation (DAE) that describes an electrical circuit [1]. The one-transistor amplifier problem coded in the example file amp1dae.m can be rewritten in semi-explicit form, but this example solves it in its original form . The problem includes a constant, singular mass matrix .
Solve System of ODEs with Multiple Initial Conditions
Compares two techniques to solve a system of ordinary differential equations with multiple sets of initial conditions.
Solve ODE with Strongly State-Dependent Mass Matrix
Solve Burgers' equation using a moving mesh technique [1]. The problem includes a mass matrix, and options are specified to account for the strong state dependence and sparsity of the mass matrix, making the solution process more efficient.
