Function approximation and interpolation play an essential role in most fields of
computational sciences and engineering, such as data processing and numerical solution of …

This study presents a parallel meshless solver for transient heat conduction analysis of
slender functionally graded materials (FGMs) with exponential variations. In the present …

We present a new localized boundary knot method (LBKM) for the solution of large-scale
partial differential equations based on the non-singular general solutions. The proposed …

The traditional method of fundamental solutions (MFS) based on the “global” boundary
discretization leads to dense and non-symmetric coefficient matrices that, although smaller …

In this paper we investigate the application of the generalized finite difference method
(GFDM) to three-dimensional (3D) transient heat conduction in anisotropic composite …

This paper applies a semi-analytical boundary collocation method, the singular boundary
method (SBM), in conjunction with the dual reciprocity method (DRM) and Laplace …

The fully coupled thermo-mechanical behavior of bi-directional functionally graded material
(FGM) beam structures is studied using a computationally low cost isogeometric finite …

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 …

An improved meshless radial point interpolation method, for the analysis of nonlinear
transient heat conduction problems is proposed. This method is implemented for the heat …

In this paper an effective meshless and integration-free numerical scheme for solving an
inverse spacewise-dependent heat source problem is proposed. Due to the use of the …