In mathematics and physics, the heat equation is a certain partial differential equation. Solutions of the heat equation are sometimes known as caloric... 58 KB (9,818 words) - 09:47, 3 May 2024 |
Thermal conduction (redirect from Fourier heat conduction equation) Convection diffusion equation R-value (insulation) Heat pipe Fick's law of diffusion Relativistic heat conduction Churchill–Bernstein equation Fourier number... 35 KB (5,392 words) - 18:12, 27 April 2024 |
book was Fourier's proposal of his heat equation for conductive diffusion of heat. This partial differential equation is now a common part of mathematical... 30 KB (3,650 words) - 01:59, 4 May 2024 |
Heat equation Wave equation Laplace's equation Helmholtz equation Klein–Gordon equation Poisson's equation Navier-Stokes equation Burgers' equation Types... 50 KB (6,671 words) - 04:27, 24 April 2024 |
diffusion equation is a special case of the convection–diffusion equation when bulk velocity is zero. It is equivalent to the heat equation under some... 10 KB (1,419 words) - 07:29, 6 May 2024 |
nonlinear. For example, Fisher's equation is a nonlinear PDE that includes the same diffusion term as the heat equation but incorporates a linear growth... 7 KB (1,176 words) - 10:12, 20 April 2024 |
In fluid dynamics, the general equation of heat transfer is a nonlinear partial differential equation describing specific entropy production in a Newtonian... 11 KB (1,893 words) - 14:20, 9 May 2023 |
Heat transfer can be modeled in various ways. The heat equation is an important partial differential equation that describes the distribution of heat... 66 KB (8,457 words) - 04:07, 24 March 2024 |
A continuity equation or transport equation is an equation that describes the transport of some quantity. It is particularly simple and powerful when... 31 KB (4,739 words) - 15:04, 30 April 2024 |
The porous medium equation, also called the nonlinear heat equation, is a nonlinear partial differential equation taking the form: ∂ u ∂ t = Δ ( u m )... 7 KB (920 words) - 22:56, 16 November 2023 |
the solutions of the heat equation. Among other results, they showed that if one has a positive solution u of the heat equation on a closed Riemannian... 28 KB (2,769 words) - 02:21, 14 January 2024 |
Flow (mathematics) (section Solutions of heat equation) approach as in the case of the Heat Equation above. We write the wave equation as a first order in time partial differential equation by introducing the following... 14 KB (2,679 words) - 15:59, 4 May 2024 |
Finite difference method (category Numerical differential equations) methods (FDM) are a class of numerical techniques for solving differential equations by approximating derivatives with finite differences. Both the spatial... 21 KB (3,573 words) - 10:03, 29 February 2024 |
FTCS scheme (category Numerical differential equations) difference method used for numerically solving the heat equation and similar parabolic partial differential equations. It is a first-order method in time, explicit... 5 KB (833 words) - 18:27, 17 April 2024 |
and spatial modeling. One of the most studied SPDEs is the stochastic heat equation, which may formally be written as ∂ t u = Δ u + ξ , {\displaystyle \partial... 8 KB (826 words) - 08:16, 19 March 2024 |
usual heat equation for non-relativistic heat conduction must be modified, as it leads to faster-than-light signal propagation. Relativistic heat conduction... 9 KB (1,144 words) - 19:37, 1 April 2024 |
way. Energy portal History of heat Heat equation Heat diffusion Heat transfer coefficient Relativistic heat conduction Heat death of the Universe Effect... 75 KB (10,917 words) - 18:32, 21 April 2024 |
Duhamel's principle (category Partial differential equations) differential equations, Duhamel's principle is a general method for obtaining solutions to inhomogeneous linear evolution equations like the heat equation, wave... 10 KB (1,941 words) - 20:52, 26 September 2023 |
Functional equation Functional equation (L-function) Constitutive equation Laws of science Defining equation (physical chemistry) List of equations in classical... 5 KB (103 words) - 14:59, 5 February 2024 |
Separation of variables (redirect from Separable differential equation) differential equations with boundary and initial conditions, such as the heat equation, wave equation, Laplace equation, Helmholtz equation and biharmonic... 20 KB (3,415 words) - 23:52, 12 April 2024 |
The Fourier number arises naturally in nondimensionalization of the heat equation. The general definition of the Fourier number, Fo, is: F o = time time... 7 KB (1,050 words) - 17:01, 3 November 2023 |
\textstyle {\rm {\frac {W}{mK}}}} . Convective heat transfer Heat sink Convection Churchill–Bernstein equation Heat Heat pump Heisler Chart Thermal conductivity... 26 KB (4,336 words) - 08:30, 12 April 2024 |
equation Heat equation Laplace's equation Laplace operator Harmonic function Spherical harmonic Poisson integral formula Klein–Gordon equation Korteweg–de... 2 KB (157 words) - 18:19, 14 March 2022 |