About: Central differencing scheme

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In applied mathematics, the central differencing scheme is a finite difference method that optimizes the approximation for the differential operator in the central node of the considered patch and provides numerical solutions to differential equations. It is one of the schemes used to solve the integrated convection–diffusion equation and to calculate the transported property Φ at the e and w faces, where e and w are short for east and west (compass directions being customarily used to indicate directions on computational grids). The method's advantages are that it is easy to understand and implement, at least for simple material relations; and that its convergence rate is faster than some other finite differencing methods, such as forward and backward differencing. The right side of the c

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rdfs:label	Central differencing scheme (en)
rdfs:comment	In applied mathematics, the central differencing scheme is a finite difference method that optimizes the approximation for the differential operator in the central node of the considered patch and provides numerical solutions to differential equations. It is one of the schemes used to solve the integrated convection–diffusion equation and to calculate the transported property Φ at the e and w faces, where e and w are short for east and west (compass directions being customarily used to indicate directions on computational grids). The method's advantages are that it is easy to understand and implement, at least for simple material relations; and that its convergence rate is faster than some other finite differencing methods, such as forward and backward differencing. The right side of the c (en)
sameAs	Central differencing scheme Central differencing scheme
dbp:wikiPageUsesTemplate	dbt:ISBN dbt:Reflist
Subject	Computational fluid dynamics Finite differences Numerical differential equations
Link from a Wikipage to an external page	https://arxiv.org/abs/1303.3769/ http://www.phy.davidson.edu/fachome/dmb/py200/centraldiff.htm https://www.thermalfluidscentral.org/encyclopedia/index.php/ http://www.iue.tuwien.ac.at/phd/heinzl/node27.html
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prov:wasDerivedFrom	http://en.wikipedia.org/wiki/Central_differencing_scheme?oldid=1050179795&ns=0
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Wikipage revision ID	1050179795 (xsd:integer)
Link from a Wikipage to another Wikipage	List of things named after Leonhard Euler Property Acceleration Applied mathematics Taylor's theorem Taylor series Upwind differencing scheme for convection Boundary layer Bounded set Computational fluid dynamics Finite differences Numerical differential equations Diffusion Péclet number Linear interpolation Conservation law Control volume Convection Convection–diffusion equation Oscillation Finite difference Finite difference method Symmetric derivative Absolutely integrable function Mass diffusivity Navier–Stokes equations Shock wave
has abstract	In applied mathematics, the central differencing scheme is a finite difference method that optimizes the approximation for the differential operator in the central node of the considered patch and provides numerical solutions to differential equations. It is one of the schemes used to solve the integrated convection–diffusion equation and to calculate the transported property Φ at the e and w faces, where e and w are short for east and west (compass directions being customarily used to indicate directions on computational grids). The method's advantages are that it is easy to understand and implement, at least for simple material relations; and that its convergence rate is faster than some other finite differencing methods, such as forward and backward differencing. The right side of the convection-diffusion equation, which basically highlights the diffusion terms, can be represented using central difference approximation. To simplify the solution and analysis, linear interpolation can be used logically to compute the cell face values for the left side of this equation, which is nothing but the convective terms. Therefore, cell face values of property for a uniform grid can be written as: (en)
foaf:isPrimaryTopicOf	http://en.wikipedia.org/wiki/Central_differencing_scheme
is Wikipage redirect of	Central difference scheme Central differences
is Link from a Wikipage to another Wikipage of	Hybrid difference scheme Computational fluid dynamics Finite difference Finite difference method Finite volume method for three-dimensional diffusion problem Central difference scheme Central differences
is foaf:primaryTopic of	http://en.wikipedia.org/wiki/Central_differencing_scheme

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