Comparison between two common collocation approaches based on radial basis functions for the case of heat transfer equations arising in porous medium
For researchers modeling heat transfer in porous media (e.g., nuclear waste disposal), this provides a comparative evaluation of two numerical methods, but the findings are incremental.
The paper compares two radial basis function collocation approaches (IRBF and DRBF) for solving heat transfer equations in porous media, finding that IRBF outperforms DRBF with better accuracy and convergence rate.
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.