# createpde

Create a model

**Domain-specific structural, heat transfer, and electromagnetic workflows are not
recommended. New features might not be compatible with these workflows. To create a
recommended model for structural, heat transfer, or electromagnetic analysis, use
femodel. For
help migrating your existing code to the unified finite element workflow, see Migration from Domain-Specific to Unified Workflow.**

## Syntax

## Description

returns a PDE model
object for one equation (a scalar PDE). This syntax is equivalent to `model`

= createpde```
model
= createpde(1)
```

and `model = createpde()`

.

returns a structural analysis model for the specified analysis type. This model lets
you solve small-strain linear elasticity problems.`structuralmodel`

= createpde("structural",`StructuralAnalysisType`

)

returns a thermal analysis model for the specified analysis type.`thermalmodel`

= createpde("thermal",`ThermalAnalysisType`

)

returns an electromagnetic analysis model for the specified analysis type.`emagmodel`

= createpde("electromagnetic",`ElectromagneticAnalysisType`

)

## Examples

### Create General PDE Model

Create a model for a general linear or nonlinear single (scalar) PDE.

model = createpde

model = PDEModel with properties: PDESystemSize: 1 IsTimeDependent: 0 Geometry: [] EquationCoefficients: [] BoundaryConditions: [] InitialConditions: [] Mesh: [] SolverOptions: [1x1 pde.PDESolverOptions]

Create a PDE model for a system of three equations.

model = createpde(3)

model = PDEModel with properties: PDESystemSize: 3 IsTimeDependent: 0 Geometry: [] EquationCoefficients: [] BoundaryConditions: [] InitialConditions: [] Mesh: [] SolverOptions: [1x1 pde.PDESolverOptions]

### Create Structural Model

Create a static structural model for solving a solid (3-D) problem.

staticStructural = createpde("structural","static-solid")

staticStructural = StructuralModel with properties: AnalysisType: "static-solid" Geometry: [] MaterialProperties: [] BodyLoads: [] BoundaryConditions: [] ReferenceTemperature: [] SuperelementInterfaces: [] Mesh: [] SolverOptions: [1x1 pde.PDESolverOptions]

Create a transient structural model for solving a plane-stress (2-D) problem.

transientStructural = createpde("structural","transient-planestress")

transientStructural = StructuralModel with properties: AnalysisType: "transient-planestress" Geometry: [] MaterialProperties: [] BodyLoads: [] BoundaryConditions: [] DampingModels: [] InitialConditions: [] SuperelementInterfaces: [] Mesh: [] SolverOptions: [1x1 pde.PDESolverOptions]

Create a structural model for modal analysis of a plane-strain (2-D) problem.

modalStructural = createpde("structural","modal-planestrain")

modalStructural = StructuralModel with properties: AnalysisType: "modal-planestrain" Geometry: [] MaterialProperties: [] BoundaryConditions: [] SuperelementInterfaces: [] Mesh: [] SolverOptions: [1x1 pde.PDESolverOptions]

Create a structural model for frequency response analysis of an axisymmetric problem. An axisymmetric model simplifies a 3-D problem to a 2-D problem using symmetry around the axis of rotation.

frStructural = createpde("structural","frequency-axisymmetric")

frStructural = StructuralModel with properties: AnalysisType: "frequency-axisymmetric" Geometry: [] MaterialProperties: [] BodyLoads: [] BoundaryConditions: [] DampingModels: [] SuperelementInterfaces: [] Mesh: [] SolverOptions: [1x1 pde.PDESolverOptions]

### Create Thermal Model

Create a model for steady-state thermal analysis.

thermalmodel = createpde("thermal","steadystate")

thermalmodel = ThermalModel with properties: AnalysisType: "steadystate" Geometry: [] MaterialProperties: [] HeatSources: [] StefanBoltzmannConstant: [] BoundaryConditions: [] InitialConditions: [] Mesh: [] SolverOptions: [1x1 pde.PDESolverOptions]

Create a model for transient thermal analysis.

thermalmodel = createpde("thermal","transient")

thermalmodel = ThermalModel with properties: AnalysisType: "transient" Geometry: [] MaterialProperties: [] HeatSources: [] StefanBoltzmannConstant: [] BoundaryConditions: [] InitialConditions: [] Mesh: [] SolverOptions: [1x1 pde.PDESolverOptions]

Create a model for modal thermal analysis.

thermalmodel = createpde("thermal","modal")

thermalmodel = ThermalModel with properties: AnalysisType: "modal" Geometry: [] MaterialProperties: [] HeatSources: [] StefanBoltzmannConstant: [] BoundaryConditions: [] InitialConditions: [] Mesh: [] SolverOptions: [1x1 pde.PDESolverOptions]

Create a transient thermal model for solving an axisymmetric problem. An axisymmetric model simplifies a 3-D problem to a 2-D problem using symmetry around the axis of rotation.

thermalmodel = createpde("thermal","transient-axisymmetric")

thermalmodel = ThermalModel with properties: AnalysisType: "transient-axisymmetric" Geometry: [] MaterialProperties: [] HeatSources: [] StefanBoltzmannConstant: [] BoundaryConditions: [] InitialConditions: [] Mesh: [] SolverOptions: [1x1 pde.PDESolverOptions]

### Create Electromagnetic Model

Create a model for electrostatic analysis.

emagE = createpde("electromagnetic","electrostatic")

emagE = ElectromagneticModel with properties: AnalysisType: "electrostatic" Geometry: [] MaterialProperties: [] Sources: [] BoundaryConditions: [] VacuumPermittivity: [] Mesh: []

Create an axisymmetric model for magnetostatic analysis. An axisymmetric model simplifies a 3-D problem to a 2-D problem using symmetry around the axis of rotation.

emagMA = createpde("electromagnetic","magnetostatic-axisymmetric")

emagMA = ElectromagneticModel with properties: AnalysisType: "magnetostatic-axisymmetric" Geometry: [] MaterialProperties: [] Sources: [] BoundaryConditions: [] VacuumPermeability: [] Mesh: []

Create a model for harmonic analysis.

emagH = createpde("electromagnetic","harmonic")

emagH = ElectromagneticModel with properties: AnalysisType: "harmonic" Geometry: [] MaterialProperties: [] Sources: [] BoundaryConditions: [] VacuumPermittivity: [] VacuumPermeability: [] Mesh: [] FieldType: "electric"

Create a model for DC conduction analysis.

emagDC = createpde("electromagnetic","conduction")

emagDC = ElectromagneticModel with properties: AnalysisType: "conduction" Geometry: [] MaterialProperties: [] BoundaryConditions: [] Mesh: []

## Input Arguments

`N`

— Number of equations

`1`

(default) | positive integer

Number of equations, specified as a positive integer. You do not need to
specify `N`

for a model where
`N = 1`

.

**Example: **`model = createpde`

**Example: **`model = createpde(3);`

**Data Types: **`double`

`StructuralAnalysisType`

— Type of structural analysis

`"static-solid"`

| `"static-planestress"`

| `"static-planestrain"`

| `"static-axisymmetric"`

| `"transient-solid"`

| `"transient-planestress"`

| `"transient-planestrain"`

| `"transient-axisymmetric"`

| `"modal-solid"`

| `"modal-planestress"`

| `"modal-planestrain"`

| `"modal-axisymmetric"`

| `"frequency-solid"`

| `"frequency-planestress"`

| `"frequency-planestrain"`

| `"frequency-axisymmetric"`

Type of structural analysis, specified as one of the following values.

For static analysis, use these values:

`"static-solid"`

— Creates a structural model for static analysis of a solid (3-D) problem.`"static-planestress"`

— Creates a structural model for static analysis of a plane-stress problem.`"static-planestrain"`

— Creates a structural model for static analysis of a plane-strain problem.`"static-axisymmetric"`

— Creates an axisymmetric (2-D) structural model for static analysis.

For transient analysis, use these values:

`"transient-solid"`

— Creates a structural model for transient analysis of a solid (3-D) problem.`"transient-planestress"`

— Creates a structural model for transient analysis of a plane-stress problem.`"transient-planestrain"`

— Creates a structural model for transient analysis of a plane-strain problem.`"transient-axisymmetric"`

— Creates an axisymmetric (2-D) structural model for transient analysis.

For modal analysis, use these values:

`"modal-solid"`

— Creates a structural model for modal analysis of a solid (3-D) problem.`"modal-planestress"`

— Creates a structural model for modal analysis of a plane-stress problem.`"modal-planestrain"`

— Creates a structural model for modal analysis of a plane-strain problem.`"modal-axisymmetric"`

— Creates an axisymmetric (2-D) structural model for modal analysis.

For frequency response analysis, use these values:

`"frequency-solid"`

— Creates a structural model for frequency response analysis of a solid (3-D) problem.`"frequency-planestress"`

— Creates a structural model for frequency response analysis of a plane-stress problem.`"frequency-planestrain"`

— Creates a structural model for frequency response analysis of a plane-strain problem.`"frequency-axisymmetric"`

— Creates an axisymmetric (2-D) structural model for frequency response analysis.

For axisymmetric models, the toolbox assumes that the axis of rotation is
the vertical axis passing through *r* = 0.

**Example: **```
model =
createpde("structural","static-solid")
```

**Data Types: **`char`

| `string`

`ThermalAnalysisType`

— Type of thermal analysis

`"steadystate"`

| `"steadystate-axisymmetric"`

| `"transient"`

| `"transient-axisymmetric"`

| `"modal"`

| `"modal-axisymmetric"`

Type of thermal analysis, specified as one of these values:

`"steadystate"`

— Creates a steady-state thermal model. If you do not specify`ThermalAnalysisType`

for a thermal model,`createpde`

creates a steady-state model.`"steadystate-axisymmetric"`

— Creates an axisymmetric (2-D) thermal model for steady-state analysis.`"transient"`

— Creates a transient thermal model.`"transient-axisymmetric"`

— Creates an axisymmetric (2-D) thermal model for transient analysis.`"modal"`

— Creates a thermal model for modal analysis. Modal solutions enable you to speed up transient thermal analysis by using the reduced-order modeling (ROM) technique.`"modal-axisymmetric"`

creates an axisymmetric (2-D) thermal model for modal analysis.

For axisymmetric models, the toolbox assumes that the axis of rotation is
the vertical axis passing through *r* = 0.

**Example: **```
model =
createpde("thermal","transient")
```

**Data Types: **`char`

| `string`

`ElectromagneticAnalysisType`

— Type of electromagnetic analysis

`"electrostatic"`

| `"magnetostatic"`

| `"harmonic"`

| `"conduction"`

| `"electrostatic-axisymmetric"`

| `"magnetostatic-axisymmetric"`

| `"harmonic-axisymmetric"`

Type of electromagnetic analysis, specified as one of these values:

`"electrostatic"`

— Creates a model for electrostatic analysis.`"magnetostatic"`

— Creates a model for magnetostatic analysis.`"harmonic"`

creates a model for harmonic electromagnetic analysis.`"conduction"`

— Creates a model for DC conduction analysis.`"electrostatic-axisymmetric"`

— Creates an axisymmetric (2-D) model for electrostatic analysis.`"magnetostatic-axisymmetric"`

— Creates an axisymmetric (2-D) model for magnetostatic analysis.`"harmonic-axisymmetric"`

— Creates an axisymmetric (2-D) model for harmonic electromagnetic analysis.

For axisymmetric models, the toolbox assumes that the axis of rotation is
the vertical axis passing through *r* = 0.

**Example: **```
model =
createpde("electromagnetic","electrostatic")
```

**Data Types: **`char`

| `string`

## Output Arguments

`model`

— PDE model

`PDEModel`

object

PDE model, returned as a `PDEModel`

object.

**Example: **`model = createpde(2)`

`structuralmodel`

— Structural model

`StructuralModel`

object

Structural model, returned as a `StructuralModel`

object.

**Example: **```
structuralmodel =
createpde("structural","static-solid")
```

`thermalmodel`

— Thermal model

`ThermalModel`

object

Thermal model, returned as a `ThermalModel`

object.

**Example: **```
thermalmodel =
createpde("thermal","transient")
```

`emagmodel`

— Electromagnetic model

`ElectromagneticModel`

object

Electromagnetic model, returned as an `ElectromagneticModel`

object.

**Example: **```
emagmodel =
createpde("electromagnetic","magnetostatic")
```

## Version History

**Introduced in R2015a**

### R2021a: Electromagnetic analysis

`createpde`

now can create a model for electromagnetic
analysis.

### R2020a: Axisymmetric analysis

`createpde`

now can create a model for axisymmetric thermal and
structural analyses. Axisymmetric analysis simplifies 3-D structural and thermal
problems to 2-D using their symmetry around the axis of rotation.

### R2017b: Structural analysis

`createpde`

now can create a model for structural
analysis.

### R2017a: Thermal analysis

`createpde`

now can create a model for thermal analysis.

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