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.
Functions
Topics
- Solving Partial Differential Equations
Solve 1-D partial differential equations with
pdepe.
Featured Examples
Solve Single PDE
Formulate, compute, and plot the solution to a single PDE.
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.
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.
Solve System of PDEs
Formulate, compute, and plot the solution to a system of two partial differential equations.
Solve System of PDEs with Initial Condition Step Functions
Solve a system of partial differential equations that uses step functions in the initial conditions.
Teaching Resources
Numerical Methods with Applications
Learn methods for interpolation, numerical integration and derivation, and finite difference methods for differential equations.
Applied Partial Differential Equations
Learn how to classify PDEs, and apply and visualize characteristic and finite difference solution methods.
