Author/Authors :
Maleknejad، K. نويسنده , , Torabi، P. نويسنده Department of Applied Mathematics, Faculty of Mathematics, Iran University of Science and Technology, Tehran, Islamic Republic of Iran ,
Abstract :
Boundary integral equations (BIE) are reformulations of boundary value problems for partial differential equations. There is a plethora of research 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 illustrated by some case studies.
