Aggregate-Iterative Methods for the Approximation of Solutions of Boundary-Value Problems

• Date: 2003
• Main Authors: Kostyshyn, L. P., Shuvar, B. A., Костишин, Л. П., Шувар, Б. А.
• Format: Article
• Language: Ukrainian; English
• Published: Institute of Mathematics, NAS of Ukraine 2003
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/4011
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

We construct a special aggregate-iterative algorithm (a two-parameter method) for the iterative integration of a differential equation with two-point boundary conditions. We establish conditions for the convergence of this method and present partial cases of the two-parameter aggregate-iterative alg...