Different Radial Basis Functions for Infiltration from Periodic Flat Channels

In this study, a problem involving steady water infiltration flow from periodic flat channels is considered. The governing equation of the problem is the Richards equation, which can be studied more conveniently by transforming the equation into a modified Helmholtz equation. A dual reciprocity method (DRM) is employed to solve the modified Helmholtz equation, subject to a set of boundary conditions, using different types of radial basis functions. Numerical solutions are then analyzed by comparing the solutions with the corresponding analytic solutions to obtain more suitable radial basis functions.