The Wolfram Language provides a wide range of functionality for modeling, simulating and analyzing different kinds of systems. This includes systems of differential equations, partial differential equations, hierarchical multidomain systems and control systems, as well as statistically based systems such as queueing systems and reliability analysis.

Differential Equations »

NDSolve — solve systems of ODEs, DAEs, DDEs, and PDEs

WhenEvent  ▪  ParametricNDSolve  ▪  ...

Dynamic Multidomain Systems »

SystemModelSimulate — simulate dynamic systems from many domains

SystemModel  ▪  SystemModelPlot  ▪  SystemModeler  ▪  ...

Geometric Structures

Disk  ▪  ParametricRegion  ▪  MeshRegion  ▪  ...

Matrices & Linear Algebra »

LinearSolve  ▪  LeastSquares  ▪  SparseArray  ▪  ...

Control Systems »

TransferFunctionModel  ▪  StateSpaceModel  ▪  StateFeedbackGains  ▪  ...

Queueing Systems »

QueueingProcess  ▪  QueueingNetworkProcess  ▪  QueueProperties  ▪  ...

Reliability »

ReliabilityDistribution  ▪  FailureDistribution  ▪  StandbyDistribution  ▪  ...