Abstract: Combining the local boundary integral equation with the improved moving least-square method, an improved meshless local boundary integral equation method is presented. In the improved moving least-square method, the weighted orthogonal functions are used as basis ones so that the matrix inverse at each quadrature point is avoided and the algebra equations system is not ill-conditioned. In addition, the improved meshless local boundary integral equation method is applied to linear elasticity problems, the corresponding discrete equations are derived. Some numerical results to demonstrate the efficiency of the method are presented. Compared with the conventional local boundary integral equation method, the present method has higher computational efficiency and precision, and will not form ill-conditioned or singular equations

Key words: Improved moving least square method, Local boundary integral equation, Weighted orthogonal basis functions