In this paper, the standard and the localized space‐time radial basis function (RBF)
collocation methods are modified and combined with the time‐marching scheme and space …

In this research, the space–time (ST) coupled generalized finite difference method (GFDM)
was extended to cooperate with the Newton–Raphson and time-marching methods for …

Elliptic boundary value problems (BVPs) are widely used in various scientific and
engineering disciplines that involve finding solutions to elliptic partial differential equations …

In this paper, we propose a novel meshless approach that involves using space–time
polyharmonic radial polynomial basis functions for modeling saturated and unsaturated …

This study is devoted to find the numerical solution of the surface heat flux history and
temperature distribution in a non linear source term inverse heat conduction problem …

In this article, we propose a simplified radial basis function (RBF) method with exterior
fictitious sources for solving elliptic boundary value problems (BVPs). Three simplified RBFs …

This study introduces a deep neural network approach that utilizes radial basis functions
(RBFs) to solve forward and inverse problems in the process of diffusion. The input layer …

In this article, a novel infinitely smooth polyharmonic radial basis function (PRBF) collocation
method for solving elliptic partial differential equations (PDEs) is presented. The PRBF with …

This paper proposes an efficient neural network both in solving process and time for inverse
problem of determining thermophysical parameters of Malan loess. In this work, a finite …

In this article, the radial basis function method with polyharmonic polynomials for solving
inverse problems of the stationary convection–diffusion equation is presented. We …