O. Konchakovska, M. Sidorov
Department of Applied Mathematics, Faculty of Information and Analytical Technologies and Managment,
Kharkiv National University of Radio Electronics,
61166, Kharkiv, Ukraine
Received 17 May, 2020; accepted in revised form 10 November, 2020
Abstract: The problem of numerical analysis of a nanoelectromechanical system, whose mathematical model is the first boundary value problem for a nonlinear one-dimensional elliptic equation, has been considered. An algorithm for obtaining two-sided approximations to a unique positive solution of the problem has been constructed using the method of successive approximations. The work of the proposed method is demonstrated by a series of computational experiments.
c? 2020 European Society of Computational Methods in Sciences and Engineering
Keywords: two-sided approach method, Green’s functions method, strongly invariant cone
segment, heterotone operator, nanoelectromechanical system
Mathematics Subject Classification: 34B15; 34B18