Algorithm of Symbolic-Numeric Calculation Green Function for Differential Equations of Second Order

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Abstract

We develop algorithm and program of the symbolic-numeric construction of the Green function, in general, in the form of generalized power series for the ordinary differential equation of the second order with the first type boundary conditions that could consist the specific regular points. Examples of constructing the Green function for some boundary problems are given that show the efficiency of the developed program.

About the authors

I N Belyaeva

National Research University "Belgorod State University"

Email: Ibelyaeva@bsu.edu.ru
Кафедра информатики и вычислительной техники; Белгородский государственный национальный исследовательский университет; National Research University "Belgorod State University"

E V Bogachev

National Research University "Belgorod State University"

Email: jancoov@gmail.com
Кафедра прикладной математики и механики; Белгородский государственный национальный исследовательский университет; National Research University "Belgorod State University"

N A Chekanov

National Research University "Belgorod State University"

Email: chekanov@bsu.edu.ru
Кафедра прикладной математики и механики; Белгородский государственный национальный исследовательский университет; National Research University "Belgorod State University"

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Copyright (c) 2012 Беляева И.Н., Богачев В.Е., Чеканов Н.А.

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