Constructing approximate solutions of differential equations using fundamental functions

Constructing approximate solutions of differential equations using fundamental functions

CONSTRUCTING APPROXIMATE SOLUTIONS OF DIFFERENTIAL EQUATIONS USING FUNDAMENTAL FUNCTIONS, by Denysiuk V.P., Negodenko Е.V. –– There was suggested a method of constructing approximate solutions of the first boundary problem for ordinary differential equations of the second order with variable coeffic...

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Bibliographic Details
Main Authors: V. P. Denysiuk, Е. V. Negodenko
Format: Article
Language:English
Published: National Aviation University 2016-12-01
Series:Вісник Астрономічної школи
Subjects:
interpolation
fundamental function
the Gibbs phenomenon
phantom nodes
Online Access:http://astro.nau.edu.ua/issues/2016_V.12_Iss.2/DenysiukNegodenko2.html
Description
Summary:CONSTRUCTING APPROXIMATE SOLUTIONS OF DIFFERENTIAL EQUATIONS USING FUNDAMENTAL FUNCTIONS, by Denysiuk V.P., Negodenko Е.V. –– There was suggested a method of constructing approximate solutions of the first boundary problem for ordinary differential equations of the second order with variable coefficients in fundamental functions. An example is given; it is shown that the relative error of the solution has reduced after introduction of phantom nodes.
ISSN:1607-2855
2411-6602

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