'World Scientific and Engineering Academy and Society (WSEAS)'
Abstract
We propose a new finite volume method to provide very high-order accuracy for the convection diffusion
problem. The main tool is a polynomial reconstruction based on the mean-value to provide the best order. We
give simple numerical examples that illustrate the effectiveness of the method in attaining the expected order of
convergence.This research was financed by
FEDER Funds through Programa Operacional Factores
de Competitividade — COMPETE and by Portuguese
Funds through FCT — Fundação para a
Ciência e a Tecnologia, within the Project PEst-
C/MAT/UI0013/2011
