An Iterative Method to Solve Boundary Value Problems with Irregular Boundary Conditions

摘要

In this paper, we investigate a general model of boundary value problems with irregular boundary conditions, a model attracting a lot of attention from researchers all over the world [2–6]. By the two approaches of finding values of functions or derivatives on the unidentified boundary conditions, we propose two iterative schemes to define approximation solutions of the problem and compare the rate of convergence of the two iterative schemes. The performed numerical experiments show the effectiveness of the two proposed methods.