Iterative method for solving a boundary value problem for biharmonic type equation.

Abstract

The solution of boundary value problems (BVP) for fourth order differential equations by their reduction to BVP for second order equations with the aim to use the achievements for the latter ones attracts attention from many researchers.In this paper, using the technique developed by ourselves in recent works, we construct iterative method for a BVP for biharmonic type equation.The performed numerical experiments show very fast convergence of the proposed algorithm.