Partial differential equations are used to mathematically formulate, and thus aid the solution of, physical and other problems involving functions of several variables, such as the propagation of heat or sound, fluid flow, elasticity, electrostatics, electrodynamics, etc.

Are PDEs used in data science?

Which data science problems are appropriate for PDE techniques. ... Pinpointing simple, analysable PDE models capable of describing complex data phenomena (e.g. pattern formation, aggregation, transport, drift, diffusion) Using stochastic PDEs to assimilate new data into existing nonlinear or nonlocal models.

Are PDEs used in economics?

Partial differential equations (PDEjs) are used in fields as diverse as physics, biology, economics, and finance to model and analyse dynamic systems. ... One area where LPDEjs play an essential role is in asset pricing theory in general and in the pricing of financial derivatives in particular.