Partial Differential Equation Terms

The Wolfram Language has powerful functionality for solving a wide variety of partial differential equations both symbolically and numerically. The symbolic capabilities of the Wolfram Language make it possible to efficiently set up PDE equations expressed as PDE terms that can be used by themselves or used a building blocks for assembling larger PDE components.

For specific physics fields, relevant PDE terms have been packaged as components and augmented with boundary condition functions typically encountered in the field.

Basic Building Blocks

Use partial differential equations of the form

DiffusionPDETerm model diffusion with

ConvectionPDETerm model convection with

ReactionPDETerm model reaction with

SourcePDETerm model a source with

ConservativeConvectionPDETerm model conservative convection with

DerivativePDETerm model a derivative of a term with

DirichletCondition  ▪  NeumannValue  ▪  PeriodicBoundaryCondition

Named Partial Differential Equation Terms

LaplacianPDETerm model with

PoissonPDEComponent model with

HelmholtzPDEComponent model with

WavePDEComponent model with

DirichletCondition  ▪  NeumannValue  ▪  PeriodicBoundaryCondition

Acoustic PDE Components »

AcousticPDEComponent model acoustics in the time or frequency domain

AcousticAbsorbingValue  ▪  AcousticImpedanceValue  ▪  AcousticNormalVelocityValue  ▪  AcousticPressureCondition  ▪  AcousticRadiationValue  ▪  AcousticSoundHardValue  ▪  AcousticSoundSoftCondition

Acoustics in the Time Domain monograph about modeling acoustics in the time domain

Acoustics in the Frequency Domain monograph about modeling acoustics in the frequency domain

Heat Transfer PDE Components »

HeatTransferPDEComponent model heat transfer

HeatFluxValue  ▪  HeatInsulationValue  ▪  HeatOutflowValue  ▪  HeatRadiationValue  ▪  HeatSymmetryValue  ▪  HeatTemperatureCondition  ▪  HeatTransferValue

Heat Transfer monograph about modeling heat transfer

Heat Transfer Model Verification test suite with heat transfer model verification

Mass Transport PDE Components »

MassTransportPDEComponent model mass transport

MassConcentrationCondition  ▪  MassFluxValue  ▪  MassImpermeableBoundaryValue  ▪  MassOutflowValue  ▪  MassSymmetryValue  ▪  MassTransferValue

Mass Transport monograph about modeling mass transport