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Partial Differential Equation Toolbox

Flux of PDE Solution

Flux of PDE Solution

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

Boundary Conditions

Boundary Conditions

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

Nodal Initial Conditions

Nodal Initial Conditions

Set nodal initial conditions using the result of a previous simulation

Geometric Initial Conditions

Geometric Initial Conditions

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

Mesh and Solution Plots

Mesh and Solution Plots

Set transparency, display node and element labels

PDE Solvers

PDE Solvers

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

Gradient of PDE Solution

Gradient of PDE Solution

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

PDE Coefficients

PDE Coefficients

Specify equation coefficients as a property of PDEModel

Initial Conditions

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.