Convergence and Error of Some Numerical Methods for Solving a Convection-Diffusion Problem

Gabriela Nut, Ioana Chiorean, Petru Blaga

Applied Mathematics Department, Babes-Bolyai University, Cluj Napoca, Romania.

DOI: 10.4236/am.2013.45A009                

Abstract

We use the local Fourier analysis to determine the properties of the multigrid method when used in modeling the skin penetration of a drug. The analyses of these properties can be very in designing an efficient structure of the multigrid method and in comparing the element and finite difference discretization techniques. After the theoretical results obtained, we also present some numerical results for a problem for which the solution is known.

Keywords

Time Dependent Convection Diffusion; Multigrid Method; Finite Element and Finite Differences Discretization

Conflicts of Interest

The authors declare no conflicts of interest.

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