This study introduces an efficient numerical methodology for the analysis of three-
dimensional (3D) elastodynamics, featuring high-order precision in the temporal and spatial …

This paper introduces an innovative numerical methodology designed to achieve high
precision solution of acoustic wave propagation problem in isotropic material. During the …

In this study, a novel upwind numerical scheme based on meshless framework was
proposed to solve convection–dominated problems in one–and two–dimensions. The …

Transient heat conduction problems widely exist in engineering. In previous work on the
peridynamic differential operator (PDDO) method for solving such problems, both time and …

Thermoelastic problems are prevalent in various practical structures, wherein thermal
stresses are of considerable concern for product design and analysis. Solving these thermal …

Inverse heat transfer problems are important in numerous scientific research and
engineering applications. This paper proposes a network-based method utilizing the …

A new kernel function, termed the closed-box kernel function, has been developed to
address numerical simulation of transient heat conduction in the same medium. Firstly, this …

Meshless numerical models have attracted much attention due to the circumvention of
troublesome mesh generation. Current meshless numerical groundwater (GW) models …

In this study, we propose an efficient numerical framework to attain the solution of the
extended Fisher-Kolmogorov (EFK) problem. The temporal derivative in the EFK equation is …

Transient nonlinear heat conduction in a slab with temperature-dependent thermal
conductivity, internal heat generation, and convective boundary conditions at both sides is …