TY - JOUR ID - 23590 TI - A Boundary Meshless Method for Neumann Problem JO - Journal of Sciences, Islamic Republic of Iran JA - JSCIENCES LA - en SN - 1016-1104 AU - Maleknejad, k AD - Iran University of Science and Technology Y1 - 2011 PY - 2011 VL - 22 IS - 3 SP - 277 EP - 286 KW - Laplace’s equation KW - Moving least squares method KW - Neumann problem KW - Boundary integral equation KW - Meshless method DO - N2 - 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. UR - https://jsciences.ut.ac.ir/article_23590.html L1 - https://jsciences.ut.ac.ir/article_23590_cd154492cca35158bab2e15bc7c4d007.pdf ER -