This paper presents the fast parametric integral equations system (PIES) in solving two-
dimensional (2D) multi-connected curvilinear potential boundary value problems. The fast …

The paper presents a new way of accelerating of polygonal potential boundary value
problems solving by modified parametric integral equations system (PIES). For this purpose …

In this paper we present the concept of modeling and solving uncertainly defined boundary
value problems described by 2D Laplace's equation. We define uncertainty of input data …

The paper presents an accelerating of solving potential boundary value problems (BVPs)
with curvilinear boundaries by modified parametric integral equations system (PIES). The …

The main purpose of this paper is modelling and solving boundary value problems
simultaneously considering uncertainty of all of input data such as: shape of boundary …

In this paper we present application of degenerate kernels strategy to solve parametric
integral equations system (PIES) for two-dimensional Laplace equation in order to improve …

In this paper, the advantages of interval modification of NURBS curves for modeling
uncertainly defined boundary shapes in boundary value problems, are presented. The …

The main purpose of this paper is to increase accuracy of modeling uncertainly defined
boundary shape in parametric integral equations systems method (PIES), by inclusion of …

In this paper we propose new methods of interpretation and verification of interval solutions
obtained using interval parametric integral equations systems (interval PIES). These …

Application of techniques for modelling of boundary value problems implies three conflicting
requirements: obtaining high accuracy of the results, high speed of the solution and low …