A Boundary Meshless Method for Neumann Problem

Boundary integral equations (bie) are reformulations of boundary value problems for partial differential equations. there is a plethora of researc h on numerical methods for all types of these equations such as solving by discretization which includes numerical integration. in this paper, the neumann problem is reformulated to a bie, and then moving least squares as a meshless method is described for solving this integral equation . error analysis of this method is discussed and then its application and accuracy are illustrate d by some case studies.