Accelerating the pace of engineering and science

# Partial Differential Equation Toolbox

## What's New

Learn about new product capabilities.

### Flux of PDE Solution

Evaluate tensor product of c-coefficient and gradient of PDE solution for 2-D and 3-D problems

### Boundary Conditions

Set an individual boundary condition for each equation in a PDE system, query boundary condition assignments

### Nodal Initial Conditions

Set nodal initial conditions using the result of a previous simulation

### Geometric Initial Conditions

Set initial conditions on vertices, edges, faces, and cells

### Mesh and Solution Plots

Set transparency, display node and element labels

### PDE Solvers

Use solvepde and solvepdeeig functions to solve PDE equations and eigenvalue problems

### Gradient of PDE Solution

Evaluate solution gradient at arbitrary 2-D or 3-D points

### PDE Coefficients

Specify equation coefficients as a property of PDEModel

### Initial Conditions

Set initial conditions or initial guess as a property of PDEModel

## Latest Releases

### R2016b (Version 2.3) - 14 Sep 2016

Version 2.3, part of Release 2016b, includes the following enhancements:

• Flux of PDE Solution: Evaluate tensor product of c-coefficient and gradient of PDE solution for 2-D and 3-D problems
• Boundary Conditions: Set an individual boundary condition for each equation in a PDE system, query boundary condition assignments
• Nodal Initial Conditions: Set nodal initial conditions using the result of a previous simulation
• Geometric Initial Conditions: Set initial conditions on vertices, edges, faces, and cells
• Mesh and Solution Plots: Set transparency, display node and element labels

See the Release Notes for details.

### R2016a (Version 2.2) - 3 Mar 2016

Version 2.2, part of Release 2016a, includes the following enhancements:

• PDE Solvers: Use `solvepde` and `solvepdeeig` functions to solve PDE equations and eigenvalue problems
• PDE Coefficients: Specify equation coefficients as a property of PDEModel
• Initial Conditions: Set initial conditions or initial guess as a property of PDEModel
• Quadratic Elements for 2-D Mesh: Generate 2-D mesh using quadratic triangular elements
• Gradient of PDE Solution: Evaluate solution gradient at arbitrary 2-D or 3-D points

See the Release Notes for details.

### R2015b (Version 2.1) - 3 Sep 2015

Version 2.1, part of Release 2015b, includes the following enhancements:

• 3-D geometry creation from a finite element mesh using the `geometryFromMesh` function
• Data structure to represent solutions using the `createPDEResults` function

See the Release Notes for details.

### R2015a (Version 2.0) - 5 Mar 2015

Version 2.0, part of Release 2015a, includes the following enhancements:

• 3D finite element analysis
• Equation coefficients and boundary conditions for 3D problems
• Elliptic, parabolic, hyperbolic, nonlinear, eigenvalue solvers for 3D problems
• 3D geometry import from STL files
• 3D unstructured meshing using tetrahedra
• Plot function to inspect 3D solutions

See the Release Notes for details.

### R2014b (Version 1.5) - 2 Oct 2014

Version 1.5, part of Release 2014b, includes the following enhancements:

• Functions for modular definition of boundary conditions
• pdeInterpolant object for solution interpolation

See the Release Notes for details.