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