In this paper, with the aim of extending an elegant and straightforward numerical
approximation to describe one of the most common physical phenomena has been …

In this paper, the localized radial basis function collocation method is applied to investigate
the in-plane elastic wave propagation of 2D phononic crystals. The direct method with local …

The purpose of this contribution is to present or implement generalized finite difference
method (GFDM) for the first time in order to solve the reaction convection Diffusion equation …

In this paper, the boundary element method (BEM) based on the elasticity theory is
developed for fracture analysis of cracked thin structures with the relative thickness-to-length …

In this study, a singular boundary method (SBM) formulation is developed for the transient
coupled dynamic thermoelastic problems. Before applying the SBM, a method based on …

Conservation properties are very important for numerical methods. The presence of non-
conservative solutions can result in fictitious sources or sinks that cause alterations in the …

In this paper, a meshless collocation method based on the generalized finite difference
(GFD) method is employed for the band structure analysis of thermoelastic waves …

A novel method of combination of wavelet‐based boundary element method (WBEM) with
frequency‐independent fundamental solutions is proposed to determine the band structures …

In simulation of the concrete pipe cooling process, numerical algorithms usually encounter
difficulties involving the large-scale ratio, adaptive point strategy, and large-scale …

We propose a radial basis function (RBF) neural network method for solving two-and three–
dimensional second and fourth order elliptic boundary value problems (BVPs). The neural …