To improve the performance of the low-order linear triangular element for solving transient
wave propagation problems, this paper presents a novel enriched finite element method …

In this paper, we develop a new meshless method for solving a wide class of time-fractional
partial differential equations with general space operators in 2D and 3D regular and …

In this paper, a new framework for stress analysis of three-dimensional (3D) composite (multi-
layered) elastic materials is presented. In our computations, the composite material is firstly …

In this paper, a spatial sixth-order numerical scheme for solving the time-fractional diffusion
equation (TFDE) is proposed. The convergence order of the constructed numerical scheme …

A localized version of the method of fundamental solution (LMFS) is devised in this paper for
the numerical solutions of three-dimensional (3D) elasticity problems. The present method …

In this paper, a novel local knot method (LKM) is presented to solve the 2D and 3D
convection–diffusion–reaction equations in arbitrary domains. Contrary to the traditional …

In this paper, a novel collocation method is presented for the efficient and accurate
evaluation of the two-dimensional elliptic partial differential equation. In the new method, the …

The fractional reaction-diffusion equation has an important physical and theoretical
meaning, but its analytical solution poses considerable problems. This paper develops an …

The interface crack problems in thin-layered coating/substrate structures are analyzed by
using the generalized finite difference method, a recently developed meshless collocation …

This paper applies the meshless generalized finite difference method (GFDM) to analyze the
subsurface flow problem in anisotropic formations for the first time, and develops the …