Partielle 1D-Differenzialgleichungen
Partielle Differenzialgleichungen enthalten partielle Ableitungsfunktionen, die von verschiedenen Variablen abhängig sind. Mit MATLAB® lösen Sie parabolische und elliptische partielle Differenzialgleichungen bei Zeitfunktionen mit einer Raumvariablen. Weitere Informationen finden Sie unter Solving Partial Differential Equations.
Partial Differential Equation Toolbox™ erweitert diese Funktionalität auf Probleme in 2D und 3D mit Dirichlet- und Neumann-Grenzbedingungen.
Funktionen
Themen
- Solving Partial Differential Equations
Solve 1-D partial differential equations with
pdepe
. - Solve Single PDE
This example shows how to formulate, compute, and plot the solution to a single PDE.
- Solve PDE with Discontinuity
This example shows how to solve a PDE that interfaces with a material.
- Solve PDE and Compute Partial Derivatives
This example shows how to solve a transistor partial differential equation (PDE) and use the results to obtain partial derivatives that are part of solving a larger problem.
- Solve System of PDEs
This example shows how to formulate, compute, and plot the solution to a system of two partial differential equations.
- Solve System of PDEs with Initial Condition Step Functions
This example shows how to solve a system of partial differential equations that uses step functions in the initial conditions.