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 |
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 |
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, 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 |
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 |
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 |
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 |
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 |
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 |
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 |
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 |
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 |
(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 |
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 |
Separation of variables (redirect from Separable differential equation) methods for solving ordinary and partial differential equations, in which algebra allows one to rewrite an equation so that each of two variables occurs... 20 KB (3,415 words) - 23:52, 12 April 2024 |
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 |
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 |
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 |
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 |
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 |
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 |