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linear diffusion equation

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  • Diffusion equation — The diffusion equation is a partial differential equation which describes density fluctuations in a material undergoing diffusion. It is also used to describe processes exhibiting diffusive like behaviour, for instance the diffusion of alleles in …   Wikipedia

  • Diffusion Monte Carlo — (DMC) is a quantum Monte Carlo method that uses a Green s function to solve the Schrödinger equation. DMC is potentially numerically exact, meaning that it can find the exact ground state energy within a given error for any quantum system. When… …   Wikipedia

  • Linear — The word linear comes from the Latin word linearis , which means created by lines .In advanced mathematics, a linear map or function f ( x ) is a function which satisfies the following two properties:* Additivity (also called the superposition… …   Wikipedia

  • Diffusion MRI — Diagnostics DTI Color Map MeSH D038524 Diffusion MRI is a mag …   Wikipedia

  • Linear canonical transformation — Paraxial optical systems implemented entirely with thin lenses and propagation through free space and/or graded index (GRIN) media, are Quadratic Phase Systems (QPS). The effect of any arbitrary QPS on an input wavefield can be described using… …   Wikipedia

  • Heat equation — The heat equation is an important partial differential equation which describes the distribution of heat (or variation in temperature) in a given region over time. For a function of three spatial variables ( x , y , z ) and one time variable t ,… …   Wikipedia

  • Reaction–diffusion system — Reaction–diffusion systems are mathematical models which explain how the concentration of one or more substances distributed in space changes under the influence of two processes: local chemical reactions in which the substances are transformed… …   Wikipedia

  • Differential equation — Not to be confused with Difference equation. Visualization of heat transfer in a pump casing, created by solving the heat equation. Heat is being generated internally in the casing and being cooled at the boundary, providing a steady state… …   Wikipedia

  • Groundwater flow equation — Used in hydrogeology, the groundwater flow equation is the mathematical relationship which is used to describe the flow of groundwater through an aquifer. The transient flow of groundwater is described by a form of the diffusion equation, similar …   Wikipedia

  • Radiative transfer equation and diffusion theory for photon transport in biological tissue — Photon transport in biological tissue can be equivalently modeled numerically with Monte Carlo simulations or analytically by the radiative transfer equation (RTE). However, the RTE is difficult to solve without introducing approximations. A… …   Wikipedia

  • Wave equation — Not to be confused with Wave function. The wave equation is an important second order linear partial differential equation for the description of waves – as they occur in physics – such as sound waves, light waves and water waves. It arises in… …   Wikipedia

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