Iterative factorization on fictitious continuation for the numerical solution of elliptic equation of the fourth order
Authors
Andrei Leonidovich Ushakov
South Ural State University
Keywords:
iterative factorization, fictitious continuation
Abstract
The elliptic differential equation of the fourth order is considered under the mixed boundary conditions. The numerical solution is reduced to the solution of the system of linear algebraic equations with triangular matrices, in which quantity of nonzero elements in every line is less than three, by means of iterative factorization on fictitious continuation.
Author Biography
Andrei Leonidovich Ushakov, South Ural State University
Senior Lecturer, Differential and Stochastic Equations Department