Equazioni differenziali parziali monodimensionali

Risolutore monodimensionale per PDE paraboliche ed ellittiche

Le equazioni differenziali parziali contengono le derivate parziali di funzioni che dipendono da più variabili. MATLAB^® consente di risolvere PDE paraboliche ed ellittiche in funzione del tempo e di una variabile spaziale. Per maggiori informazioni, vedere Solving Partial Differential Equations.

Partial Differential Equation Toolbox™ estende questa funzionalità ai problemi bidimensionali e tridimensionali con condizioni al contorno di Dirichlet e Neumann.

Funzioni

`pdepe`	Solve 1-D parabolic and elliptic PDEs
`odeget`	Extract ODE option values
`odeset`	Create or modify options structure for ODE and PDE solvers
`pdeval`	Interpolate numerical solution of PDE

Argomenti

Solving Partial Differential Equations
Solve 1-D partial differential equations with pdepe.

Informazioni complementari

Metodi numerici con applicazioni (Risorse didattiche MathWorks)

Esempi in primo piano

Solve Single PDE

Formulate, compute, and plot the solution to a single PDE.

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Solve PDE with Discontinuity

Solve a PDE that interfaces with a material. The material interface creates a discontinuity in the problem at $x = 0.5$ , and the initial condition has a discontinuity at the right boundary $x = 1$ .

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Solve PDE and Compute Partial Derivatives

Solve a transistor partial differential equation (PDE) and use the results to obtain partial derivatives that are part of solving a larger problem.

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Solve System of PDEs

Formulate, compute, and plot the solution to a system of two partial differential equations.

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Solve System of PDEs with Initial Condition Step Functions

Solve a system of partial differential equations that uses step functions in the initial conditions.

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