Computer Calculation of Green Functions for Third-Order Ordinary Differential Equations

• Published in: Journal of mathematical sciences (New York, N.Y.) Vol. 259; no. 3; pp. 265 - 271
• Main Authors: Belyaeva, I. N., Chekanov, N. A., Krasovskaya, L. V., Chekanova, N. N.
• Format: Journal Article
• Language: English
• Published: New York Springer US 01.12.2021; Springer; Springer Nature B.V
• Subjects: Boundary value problems; Differential equations; Green's functions; Mathematical analysis; Mathematics; Mathematics and Statistics; Ordinary differential equations; Power series; Simulation methods; Singularity (mathematics); 34B27; symbol-numerical computation; computer simulation; Green function; ordinary differential equation; boundary-value problem

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