Abstract
The modified Finite Point Method (FPM) is considered as one of the latest de- velopments among the meshless numerical methods. In order to achieve accurate results using modified FPM, it is essential to impose suitable mixed Boundary Conditions (BC) along with simultaneously satisfying both the governing Par- tial Differential Equation (PDE) at internal nodes and the associated BC at the nodes located on inhomogeneous interfaces in addition to the nodes at external boundaries of a normalized spatial domain. Through solving Homogeneous and Inhomogeneous Geoelectric Models (HGM and IGM) of geophysical science us- ing weighted FPM we show that employing geostatistically optimized weights obtained via solving Kriging equations leads to results with greater accuracy compared with those obtained using conventional Gaussian weight.
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