partial differential equation
71Poisson's equation — In mathematics, Poisson s equation is a partial differential equation with broad utility in electrostatics, mechanical engineering and theoretical physics. It is named after the French mathematician, geometer and physicist Siméon Denis Poisson.… …
72Numerical ordinary differential equations — Illustration of numerical integration for the differential equation y = y,y(0) = 1. Blue: the Euler method, green: the midpoint method, red: the exact solution, y = et. The step size is h = 1.0 …
73Generic scalar transport equation — The generic scalar transport equation is a general partial differential equation that describes transport phenomena such as heat transfer, mass transfer, fluid dynamics (momentum transfer), etc. A general form of the equation is: frac{partial… …
74Convection–diffusion equation — The convection–diffusion equation is a parabolic partial differential equation combining the diffusion equation and the advection equation, which describes physical phenomena where particles or energy (or other physical quantities) are… …
75Burgers' equation — is a fundamental partial differential equation from fluid mechanics. It occurs in various areas of applied mathematics, such as modeling of gas dynamics and traffic flow. It is named for Johannes Martinus Burgers (1895 1981).For a given velocity… …
76Acoustic wave equation — In physics, the acoustic wave equation governs the propagation of acoustic waves through a material medium. The form of the equation is a second order partial differential equation. The equation describes the evolution of acoustic pressure p or… …
77Euler-Bernoulli beam equation — Euler Bernoulli beam theory, or just beam theory, is a simplification of the linear theory of elasticity which provides a means of calculating the load carrying and deflection characteristics of beams. It was first enunciated circa 1750, but was… …
78Ultrahyperbolic wave equation — In the mathematical field of partial differential equations, the ultrahyperbolic wave equation is a partial differential equation for an unknown scalar function u of 2 n variables x 1, ..., x n , y 1, ..., y n of the form: frac{partial^2… …
79Kolmogorov backward equation — The Kolmogorov backward equation (KBE) and its adjoint the Kolmogorov forward equation (KFE) are partial differential equations (PDE) that arise in the theory of continuous time continuous state Markov processes. Both were published by Andrey… …
80Monge equation — In the mathematical theory of partial differential equations, a Monge equation, named after Gaspard Monge, is a first order partial differential equation for an unknown function u in the independent variables x1,...,xn that is a polynomial in the …
