FD-method for an eigenvalue problem with nonlinear potential

• Date: 2007
• Main Authors: Gavrilyuk, I. P., Klymenko, A. V., Makarov, V. L., Rossokhata, N. O., Гаврилюк, І. П., Клименко, А. В., Макаров, В. Л., Россохата, Н. О.
• Format: Article
• Language: Ukrainian; English
• Published: Institute of Mathematics, NAS of Ukraine 2007
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/3289
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

Using the functional discrete approach and Adomian polynomials, we propose a numerical algorithm for an eigenvalue problem with a potential that consists of a nonlinear autonomous part and a linear part depending on an independent variable. We prove that the rate of convergence of the algorithm is e...