Partial Differential Equation Terms
Topic Overview 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 as 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.
The PDE Models Overview provides a collection of numerical application examples from a wide range of fields solved with the finite element method.
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 
SchrodingerPDEComponent — 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
Electromagnetic PDE Components »
ElectrostaticPDEComponent — model electrostatics
ElectricCurrentPDEComponent — model electric currents
MagnetostaticPDEComponent — model magnetostatics for permanent magnets
MagneticPDEComponent — model quasistatic magnetic fields
MagneticFieldIntensity — compute the field intensity
MagneticFluxDensity — compute the flux density
ElectricPotentialCondition ▪ ElectricFluxDensityValue ▪ ElectricSymmetryValue ▪ MagneticPotentialCondition ▪ MagneticFluxDensityValue ▪ MagneticSymmetryValue
Electromagnetism — overview monograph about modeling electromagnetics
Electrostatics — monograph about modeling electrostatics
Electric Currents — monograph about modeling electric currents
Magnetostatics for Permanent Magnets — monograph about modeling permanent magnets
Quasistatic Magnetic Fields — monograph about modeling quasistatic magnetic fields
Fluid Dynamics PDE Components »
FluidFlowPDEComponent — model fluid flow
FluidViscosity — compute the viscosity of a fluid
FluidViscousStress — compute the viscous stress in a fluid
Laminar Flow — monograph about modeling laminar fluid flow
Fluid Dynamics Model Verification — test suite for fluid dynamics model verification
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
Solid Mechanics PDE Components »
SolidMechanicsPDEComponent — model solid mechanics
SolidMechanicsStrain — computes strain from displacement
SolidMechanicsStress — computes stress from strain
VonMisesStress — computes the von Mises stress
EquivalentStrain — computes the equivalent strain
SolidFixedCondition ▪ SolidDisplacementCondition ▪ SolidBoundaryLoadValue
Solid Mechanics — monograph about modeling solid mechanics
Hyperelasticity — monograph about modeling hyperelastic material
Plasticity — monograph about modeling hyperelastic material
Solid Mechanics Model Verification — test suite with solid mechanics model verification