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Finite difference

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Finite difference methods treat the terms in the governing equations as mathetmatical objects without usually alluding to the physical significance of each term. It aims at approximating the derivatives (transient, diffusion, convection) via a Tyalor-Series expansion. The method therefore assumes that the variation of the concerned variable is somehow polynomial, so that higher derivatives have negligible effects.
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Finite difference methods treat the terms in the governing equations as mathetmatical objects without usually alluding to the physical significance of each term. It aims at approximating the derivatives (transient, diffusion, convection) via a Taylor-Series expansion. The method therefore assumes that the variation of the concerned variable is somehow polynomial, so that higher derivatives have negligible effects.
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Revision as of 18:52, 5 December 2005

Finite difference methods treat the terms in the governing equations as mathetmatical objects without usually alluding to the physical significance of each term. It aims at approximating the derivatives (transient, diffusion, convection) via a Taylor-Series expansion. The method therefore assumes that the variation of the concerned variable is somehow polynomial, so that higher derivatives have negligible effects.


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