Comparison between two common collocation approaches based on radial basis functions for the case of heat transfer equations arising in porous medium
Mathematical Physics
2010-08-17 v2 Computational Engineering, Finance, and Science
math.MP
Numerical Analysis
Computational Physics
Abstract
In this paper two common collocation approaches based on radial basis functions have been considered; one be computed through the integration process (IRBF) and one be computed through the differentiation process (DRBF). We investigated the two approaches on natural convection heat transfer equations embedded in porous medium which are of great importance in the design of canisters for nuclear wastes disposal. Numerical results show that the IRBF be performed much better than the common DRBF, and show good accuracy and high rate of convergence of IRBF process.
Keywords
Cite
@article{arxiv.1008.2348,
title = {Comparison between two common collocation approaches based on radial basis functions for the case of heat transfer equations arising in porous medium},
author = {K. Parand and S. Abbasbandy and S. Kazem and A. R. Rezaei},
journal= {arXiv preprint arXiv:1008.2348},
year = {2010}
}
Comments
23 pages, 4 figures; Published online in the journal of "Communications in Nonlinear Science and Numerical Simulation"