Comparison between two common collocation approaches based on radial basis functions for the case of heat transfer equations arising in porous medium

摘要

In this paper two common collocation approaches based on radial basisfunctions have been considered; one be computed through the integration process(IRBF) and one be computed through the differentiation process (DRBF). Weinvestigated the two approaches on natural convection heat transfer equationsembedded in porous medium which are of great importance in the design ofcanisters for nuclear wastes disposal. Numerical results show that the IRBF beperformed much better than the common DRBF, and show good accuracy and highrate of convergence of IRBF process.