Poisson, Helmholtz and Convection 2D Unsteady Equations by Finite Difference Method of O(Δx6)

E.C. Romão; M.D. de Campos; L.F. Mendes de Moura

doi:10.4028/www.scientific.net/DDF.336.83

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HomeDefect and Diffusion ForumDefect and Diffusion Forum Vol. 336Poisson, Helmholtz and Convection 2D Unsteady...

Poisson, Helmholtz and Convection 2D Unsteady Equations by Finite Difference Method of O(Δx⁶)

Abstract:

This paper presents the numerical solution of transient two-dimensional convection-diffusion-reactions using the Sixth-Order Finite Difference Method. Considering the extension of the Taylor series, the first and second order derivatives from this physical problem are discretized with O(Δx⁶) accuracy. Using the L and L₂ norm, the numerical solution is compared with some examples that have an analytical solution.

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Periodical:

Defect and Diffusion Forum (Volume 336)

Pages:

83-90

DOI:

https://doi.org/10.4028/www.scientific.net/DDF.336.83

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Online since:

March 2013

Authors:

E.C. Romão, M.D. de Campos, L.F. Mendes de Moura

Keywords:

Finite Difference Method (FDM), Numerical Solution, Taylor's Series

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