Updating Iterative Factorization for the Numerical Solution of Two Elliptic Equations of the Second Order in Rectangular Area

Abstract

Two elliptic equations of the second order in rectangular area under the mixed regional conditions are considered. Their numerical decision is reduced by means of iterative factorization and fictitious continuations to the solution of systems of the linear algebraic equations with triangular matrixes, in which the quantity of nonzero elements in each line do not exceed three.