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 …

This work proposes a meshless generalized finite difference method (GFDM) with
supplementary nodes for the solution of thin elastic plate bending under dynamic loading …

This paper investigates the underwater acoustic propagation characteristics induced by
structural vibrations in the arctic ocean environment. For this purpose, a hybrid solver based …

The localized method of fundamental solutions (LMFS) is an efficient meshless collocation
method that combines the concept of localization and the method of fundamental solutions …

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 …

Analysis of 2D heat conduction in nonlinear functionally graded materials using a local semi-analytical
meshless method Page 1 AIMS Mathematics, 6(11): 12599–12618. DOI: 10.3934/math.2021726 …

A hybrid numerical method is developed for three-dimensional (3D) heat conduction in
functionally graded materials (FGMs) by integrating the advantages of the generalized finite …

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 …

This paper studies the problem of spurious eigensolutions in the context of the singular
boundary method (SBM) formulated in the two-and-a-half-dimensional (2.5 D) domain and …

In this paper, the localized Trefftz method (LTM) is proposed to accurately and efficiently
solve two-dimensional boundary value problems, governed by Laplace and biharmonic …