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

Authors

  • Andrei Leonidovich Ushakov South Ural State University

Keywords:

iterative factorization, fictitious continuations

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.

Author Biography

Andrei Leonidovich Ushakov, South Ural State University

Associate Professor, Differential and Stochastic Equations Department

Published

2013-10-25

Issue

Section

Mathematics