During the past few years, the idea of using meshless methods for numerical solution of
partial differential equations (PDEs) has received much attention throughout the scientific …

Abstract The meshless local Petrov–Galerkin (MLPG) method is a mesh-free procedure for
solving partial differential equations. However, the benefit in avoiding the mesh construction …

The meshless local Petrov-Galerkin (MLPG) approach is an effective method for solving
partial differential equations using the moving least squares (MLS) approximation. It is a truly …

In this paper we apply the direct meshless local Petrov–Galerkin (DMLPG) method to solve
the two dimensional Klein–Gordon equations in both strong and weak forms. Low …

The Meshless Local Petrov–Galerkin (MLPG) method is one of the popular meshless
methods that has been used very successfully to solve several types of boundary value …

The finite difference method (FDM) hasbeen used tosolve differential equation systems for
centuries. The FDM works well for problems of simple geometry and was widely used before …

Meshless methods are a new class of numerical techniques for solving partial differential
equations and have attracted considerable attention in computational mechanics in recent …

A crucial point in the implementation of meshless methods such as the meshless local
Petrov–Galerkin (MLPG) method is the evaluation of the domain integrals arising over …

Abstract Meshless Local Petrov Galerkin (MLPG) techniques are pure meshless methods
nowadays used to solve a large class of Partial Differential Equations. Recently, the Direct …

A local symmetric weak form (LSWF) for linear potential problems is developed, and a truly
meshless method, based on the LSWF and the moving least squares approximation, is …