This paper presents a summary of various localized collocation schemes and their
engineering applications. The basic concepts of localized collocation methods (LCMs) are …

In this article, a novel meshless local collocation method is proposed for the numerical
solution of the three-dimensional (3D) extended Fisher–Kolmogorov (EFK) equation. The …

In this paper, a novel Burton-Miller-type singular boundary method (BM-SBM) formulation is
proposed for the acoustic design sensitivity analysis, with the help of the direct differentiation …

This paper documents the first attempt to apply a localized method of fundamental solutions
(LMFS) to the acoustic analysis of car cavity containing soundabsorbing materials. The …

In this paper, the localized method of fundamental solutions (LMFS), a recently developed
meshless collocation method, is applied to the numerical solution of problems with cracks in …

We derive, for the first time, the transient response (or Green's function, GF) induced by a
general point dislocation in a transversely isotropic and layered poroelastic half-space …

Purpose This study aims to simulate the dendritic growth in Stokes flow by iteratively
coupling a domain and boundary type meshless method. Design/methodology/approach A …

In this research, the localized singular boundary method (LSBM) is proposed to solve the
Laplace and Helmholtz equations in 2D arbitrary domains. In the traditional SBM, the …

The method of fundamental solutions (MFS) is a highly accurate numerical method for
solving homogeneous solutions subject to a properly selection of the sources location. In …

A meshfree approach, the radial basis reproducing kernel particle method (RRKPM), is
proposed in this study, which is based on the radial basis functions (RBFs) and the …