The moving least square (MLS) approximation is one of the most important methods to
construct approximation functions in meshless methods. For the error analysis of the MLS …

In this paper a numerical technique is proposed for solving the nonlinear generalized
Benjamin–Bona–Mahony–Burgers and regularized long-wave equations. Firstly, we obtain …

In this paper, based on the improved interpolating moving least-squares (IMLS) method and
the dimension splitting method, the interpolating dimension splitting element-free Galerkin …

Abstract Moving Least Squares (MLS), as a series representation type of approximation, is
broadly used in a wide array of meshfree methods. However, using the existing standard …

The element free Galerkin technique is a meshless method based on the variational weak
form in which the test and trial functions are the shape functions of moving least squares …

A delay PDE is different from a PDE in which it depends not only on the solution at a present
stage but also on the solution at some past stage (s). In the current paper, we develop …

An improved interpolating element-free Galerkin (IIEFG) method for elastoplasticity is
proposed in this paper. In the IIEFG method, the shape functions are constructed by the …

In this paper, the variational multiscale interpolating element-free Galerkin (VMIEFG) method
is developed to obtain the numerical solution of the nonlinear Darcy–Forchheimer model …

In this paper, an interpolating element-free Galerkin (IEFG) method for three-dimensional
potential problems is presented based on the improved interpolating moving least-squares …

The main objective of the current paper is to propose a meshless weak form to simulate the
Oldroyd equation. At the first stage, the Crank-Nicolson method has been utilized to discreet …