What does parabolic partial differential equation mean?
Definitions for parabolic partial differential equation
par·a·bol·ic par·tial dif·fer·en·tial equa·tion
This dictionary definitions page includes all the possible meanings, example usage and translations of the word parabolic partial differential equation.
Wikipedia
Parabolic partial differential equation
A parabolic partial differential equation is a type of partial differential equation (PDE). Parabolic PDEs are used to describe a wide variety of time-dependent phenomena, including heat conduction, particle diffusion, and pricing of derivative investment instruments.
Wikidata
Parabolic partial differential equation
A parabolic partial differential equation is a type of second-order partial differential equation that describes a wide family of problems in science including heat diffusion, ocean acoustic propagation, physical or mathematical systems with a time variable, and processes that behave essentially like heat diffusing through a solid. A partial differential equation of the form is parabolic if it satisfies the condition This definition is analogous to the definition of a planar parabola. A simple example of a parabolic PDE is the one-dimensional heat equation, where is the temperature at time and at position, and is a constant. The symbol signifies the partial derivative with respect to the time variable, and similarly is the second partial derivative with respect to . This equation says, roughly. that temperature at a given time and point rises or falls at a rate proportional to the difference between the temperature at that point and the average temperature near that point. The quantity measures how far off the temperature is from satisfying the mean value property of harmonic functions. A generalization of the heat equation is where is a second order elliptic operator. Such a system can be hidden in an equation of the form
Numerology
Chaldean Numerology
The numerical value of parabolic partial differential equation in Chaldean Numerology is: 8
Pythagorean Numerology
The numerical value of parabolic partial differential equation in Pythagorean Numerology is: 5
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"parabolic partial differential equation." Definitions.net. STANDS4 LLC, 2024. Web. 6 May 2024. <https://www.definitions.net/definition/parabolic+partial+differential+equation>.
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