Abstract
In this paper we study theoretically on some mathematical properties of the matrix of the linear system of equations which stems from discretization of n-dimensional Laplace equation by finite difference approximations. The mathematical properties, i.e., the maximum and minimum absolute eigenvalues, the eigenvectors and the condition numbers of the coefficient matrix A and the Jacobi matrix B of the iterative method are estimated. The discretization by the finite differences in n-dimensions is made using the nearest and skewed neighboring grid points. The effectiveness of the variants of the finite differences is shown throughout this study.
