1-D Partial Differential Equations

1-D solver for parabolic and elliptic PDEs

Partial differential equations contain partial derivatives of functions that depend on several variables. MATLAB^® lets you solve parabolic and elliptic PDEs for a function of time and one spatial variable. For more information, see Solving Partial Differential Equations.

Partial Differential Equation Toolbox™ extends this functionality to problems in 2-D and 3-D with Dirichlet and Neumann boundary conditions.

Functions

`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

Topics

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

Related Information

Numerical Methods with Applications (MathWorks Teaching Resources)

Featured Examples

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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