The generalized finite difference method (GFDM) is a typical meshless collocation method
based on the Taylor series expansion and the moving least squares technique. In this paper …

This paper introduces a stable numerical framework designed to address dynamic crack
problems over long-time intervals. The initial step involves the temporal discretization of the …

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 …

This article presents a meshless method to solve three-dimensional elliptic interface
problem. The method is based on the generalized finite difference method, which expresses …

In this paper, a novel meshless method that can handle porous flow problems with singular
source terms is developed by virtually constructing node control domains. By defining a …

In this paper, an upwind GFDM is developed for coupled heat and mass transfer problems in
porous media. GFDM is a meshless method that can obtain the difference schemes of …

This paper applies GFDM to analyze coupled two-phase flow and geomechanics for the first
time, to our knowledge, is also the first meshless solver for two-phase fluid-solid coupling …

This study proposes a new method for effectively and accurately simulating sloshing in a two-
dimensional numerical tank. This technique uses the localized Trefftz method (LTM), a …

In this work, a meshless generalized finite difference method (GFDM), based on the Taylor
series expansion and weighted moving-least square approximation, is proposed to solve the …

In this paper, the space-time generalized finite difference scheme is proposed to effectively
solve the unsteady double-diffusive natural convection problem in the fluid-saturated porous …