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 (1,176 words) - 10:12, 20 April 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) - 04:00, 24 March 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) - 18:22, 21 April 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) - 08:35, 7 November 2023 |
Stochastic partial differential equations (SPDEs) generalize partial differential equations via random force terms and coefficients, in the same way ordinary... 8 KB (826 words) - 08:16, 19 March 2024 |
methods for partial differential equations is the branch of numerical analysis that studies the numerical solution of partial differential equations (PDEs)... 17 KB (1,937 words) - 05:44, 29 February 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 |
Such an equation is an ordinary differential equation (ODE). A linear differential equation may also be a linear partial differential equation (PDE), if... 30 KB (4,757 words) - 09:44, 12 April 2024 |
A separable partial differential equation can be broken into a set of equations of lower dimensionality (fewer independent variables) by a method of separation... 3 KB (459 words) - 06:25, 27 April 2024 |
Burgers' equation or Bateman–Burgers equation is a fundamental partial differential equation and convection–diffusion equation occurring in various areas... 15 KB (2,486 words) - 19:17, 12 April 2024 |
In mathematics, a first-order partial differential equation is a partial differential equation that involves only first derivatives of the unknown function... 14 KB (3,095 words) - 11:43, 8 February 2023 |
mathematics, an exact differential equation or total differential equation is a certain kind of ordinary differential equation which is widely used in... 22 KB (5,437 words) - 11:17, 26 January 2024 |
A stochastic differential equation (SDE) is a differential equation in which one or more of the terms is a stochastic process, resulting in a solution... 36 KB (5,605 words) - 06:31, 21 April 2024 |
the Helmholtz equation is the eigenvalue problem for the Laplace operator. It corresponds to the linear partial differential equation: ∇ 2 f = − k 2... 19 KB (2,891 words) - 08:56, 24 April 2024 |
classical mechanics, the Euler–Lagrange equations are a system of second-order ordinary differential equations whose solutions are stationary points of... 24 KB (4,831 words) - 08:51, 17 February 2024 |
(real) Monge–Ampère equation is a nonlinear second-order partial differential equation of special kind. A second-order equation for the unknown function... 8 KB (1,005 words) - 23:49, 24 March 2023 |
mechanics and information theory, the Fokker–Planck equation is a partial differential equation that describes the time evolution of the probability... 35 KB (6,474 words) - 16:37, 5 March 2024 |
Method of characteristics (redirect from Charpit-Lagrange equations) hyperbolic partial differential equation. The method is to reduce a partial differential equation to a family of ordinary differential equations along which... 17 KB (3,109 words) - 04:18, 24 March 2024 |
Nonlinear system (redirect from Nonlinear differential equation) 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... 21 KB (2,597 words) - 23:02, 6 April 2024 |
In mathematics, a dispersive partial differential equation or dispersive PDE is a partial differential equation that is dispersive. In this context, dispersion... 1,016 bytes (79 words) - 04:53, 14 February 2023 |
The electromagnetic wave equation is a second-order partial differential equation that describes the propagation of electromagnetic waves through a medium... 21 KB (2,921 words) - 13:45, 23 June 2023 |
Maxwell's equations, or Maxwell–Heaviside equations, are a set of coupled partial differential equations that, together with the Lorentz force law, form... 81 KB (7,885 words) - 14:53, 25 March 2024 |
See also Nonlinear partial differential equation, List of partial differential equation topics and List of nonlinear ordinary differential equations.... 22 KB (19 words) - 09:48, 24 April 2024 |