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

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.

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Bibliographic Details
Published inJournal 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
LanguageEnglish
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
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ISSN1072-3374
1573-8795
1573-8795
DOI10.1007/s10958-021-05615-9

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Summary: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.
Bibliography:ObjectType-Article-1
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content type line 14
ISSN:1072-3374
1573-8795
1573-8795
DOI:10.1007/s10958-021-05615-9