Por favor utiliza este link para citar o compartir este documento: http://repositoriodigital.academica.mx/jspui/handle/987654321/86180
Título: On second-order mimetic and conservative finite-difference discretization schemes
Palabras clave: Mimetic discretizations
finite difference
partial differential equations
diffusion equation
Taylor expansions
boundary layer
Fecha de publicación: 31-Jul-2012
Editorial: Revista mexicana de física E
Descripción: Although the scheme could be derived on the grounds of a relatively new numerical discretization methodology known as Mimetic Finite-Difference Approach, the derivation of a second-order mimetic finite difference discretization scheme will be presented in a more intuitive way, using Taylor expansions. Since students become familiar with Taylor expansions in earlier calculus and mathematical methods for physicist courses, one finds this approach of presenting this new discretization scheme to be more easily handled in courses on numerical computations of both undergraduate and graduated programs. The robustness of the resulting discretized equations will be illustrated by finding the numerical solution of an essentially hard-to-solve, one-dimensional, boundary-layer-like problem, based on the steady diffusion equation. Moreover, given that the presented mimetic discretization scheme attains second-order accuracy in the entire computational domain (including the boundaries), as a comparative exercise the discretized equations can be readily applied in solving examples commonly found in texbooks on applied numerical methods and solved numerically via other discretization schemes (including some of the standard finite-diffence discretization schemes)
Other Identifiers: http://www.scielo.org.mx/scielo.php?script=sci_arttext&pid=S1870-35422008000200005
Aparece en las Colecciones:Revista Mexicana de Física E

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