Explore: Partial Differential Equations)

numerically approximate solutions of certain partial differential equations using computers. Partial differential equations also occupy a large sector of pure mathematical

of the equation. This feature qualitatively distinguishes hyperbolic equations from elliptic partial differential equations and parabolic partial differential

Stochastic partial differential equations generalize partial differential equations for modeling randomness. A non-linear differential equation is a differential

A parabolic partial differential equation is a type of partial differential equation (PDE). Parabolic PDEs are used to describe a wide variety of time-dependent

In mathematics, an elliptic partial differential equation is a type of partial differential equation (PDE). In mathematical modeling, elliptic PDEs are

those functions. The term "ordinary" is used in contrast with partial differential equations (PDEs) which may be with respect to more than one independent

system of equations, which is a set of simultaneous equations in which the unknowns (or the unknown functions in the case of differential equations) appear

In mathematics, a dispersive partial differential equation or dispersive PDE is a partial differential equation that is dispersive. In this context, dispersion

properties of parabolic equations. See the extensive List of nonlinear partial differential equations. Euler–Lagrange equation Nonlinear system Integrable

Maxwell's equations, or Maxwell–Heaviside equations, are a set of coupled partial differential equations that, together with the Lorentz force law, form