heat equation sentence in Hindi
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- 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.
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