heat equation उदाहरण वाक्य

Examples of archetypal well-posed problems include the Dirichlet problem for Laplace's equation, and the heat equation with specified initial conditions.
He is best known for his work with Phyllis Nicolson on the heat equation, which resulted in the Crank & ndash; Nicolson method.
The diffusion equation, a more general version of the heat equation, arises in connection with the study of chemical diffusion and other related processes.
Two questions arise immediately : on what domain in spacetime is the heat equation to be solved, and what boundary conditions are to be imposed?
The heat equation governs heat diffusion, as well as other diffusive processes, such as particle diffusion or the propagation of action potential in nerve cells.

Although they are not diffusive in nature, some quantum mechanics problems are also governed by a mathematical analog of the heat equation ( see below ).
Another method for removing noise is to evolve the image under a smoothing partial differential equation similar to the heat equation, which is called anisotropic diffusion.
To solve the Stefan problem we not only have to solve the heat equation in each region, but we must also track the free boundary ?.
If the conducting body has a simple shape, then exact analytical mathematical expressions and solutions may be possible ( see heat equation for the analytical approach ).
Conduction of heat, the theory of which was developed by Joseph Fourier, is governed by another second-order partial differential equation, the heat equation.