Abstract Rainfall infiltration in unsaturated soil slopes is a classic issue geotechnical engineering (Conte and Troncone Géotechnique 62:87–91, 2012; Morbidelli et al. J Hydrol 557:878–886, 2018). Factors influencing the slope stability due to rainwater comprise rainfall characteristics, saturated permeability coefficient, geometry of slope, boundary initial moisture conditions (Ali Comput Geo...

on the basis of a reproducing kernel space, an iterative algorithm for solving the one-dimensional linear and nonlinear schrödinger equations is presented. the analytical solution is shown in a series form in the reproducing kernel space and the approximate solution is constructed by truncating the series. the convergence of the approximate solution to the analytical solution is also proved. th...

this paper presents an exact analytical solution for two-dimensional conductive heat transfer in spherical composite pressure vessels .the vessels are in spherical shape and fibers are winded in circumferential direction. the analytical solution is obtained under the general boundary conditions which consist of convection, conduction and radiation inside/outside of vessel. the heat transfer equ...

this study presents exact bending solution of fully clamped orthotropic rectangular plates subjected to arbitrary loads resting on elastic foundations, based on the finite integral transform method. in this method, it is not necessary to determine the deformation function because the basic governing equations of the classical plate theory for orthotropic plates have been used. a detailed parame...