I. N. Belyaeva, N. A. Chekanov, L. V. Krasovskaya, N. N. Chekanova, “Computer calculation of green's functions for third-order ordinary differential equations”, Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 2019, Volume 165,Pages <nobr>3

Computer calculation of green's functions for third-order ordinary differential equations

I. N. Belyaeva^a, N. A. Chekanov^a, L. V. Krasovskaya^a, N. N. Chekanova^b

^a National Research University "Belgorod State University"
^b Kharkov Institute of Education and Science of the State Higher Educational Institution "University of Banking"

Abstract: In this paper, we present a method of computer calculation of Green's function in the form of generalized power series for third-order linear differential equations admitting regular singularities. For specific boundary-value problems, we construct Green's functions by using the software proposed.

Keywords: ordinary differential equation, boundary-value problem, Green function, symbol-numerical computation, computer simulation.

UDC: 519.624.3

MSC: 34B27

DOI: 10.36535/0233-6723-2019-165-3-9