In mathematics, a partial differential equation (PDE) is an equation which computes a function between various partial derivatives of a multivariable function...
49 KB (6,849 words) - 16:29, 8 July 2024
In mathematics, a hyperbolic partial differential equation of order n {\displaystyle n} is a partial differential equation (PDE) that, roughly speaking...
9 KB (1,251 words) - 06:26, 21 May 2024
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...
7 KB (1,141 words) - 06:38, 4 July 2024
Second-order linear partial differential equations (PDEs) are classified as either elliptic, hyperbolic, or parabolic. Any second-order linear PDE in two...
7 KB (1,558 words) - 02:25, 16 June 2024
In mathematics, a differential equation is an equation that relates one or more unknown functions and their derivatives. In applications, the functions...
29 KB (3,628 words) - 15:16, 20 August 2024
In mathematics and physics, Laplace's equation is a second-order partial differential equation named after Pierre-Simon Laplace, who first studied its...
32 KB (4,943 words) - 16:26, 10 June 2024
In mathematics and physics, a nonlinear partial differential equation is a partial differential equation with nonlinear terms. They describe many different...
9 KB (1,085 words) - 17:58, 3 November 2023
methods for partial differential equations is the branch of numerical analysis that studies the numerical solution of partial differential equations (PDEs)...
17 KB (1,938 words) - 12:48, 14 June 2024
Stochastic partial differential equations (SPDEs) generalize partial differential equations via random force terms and coefficients, in the same way ordinary...
8 KB (826 words) - 03:40, 5 July 2024
those functions. The term "ordinary" is used in contrast with partial differential equations (PDEs) which may be with respect to more than one independent...
44 KB (4,890 words) - 14:21, 20 August 2024