On Numerical Solution of One Class of Integro-Differential Equations in a Special Case

dc.contributor.author	Gabbasov N.S.
dc.date.accessioned	2021-02-25T20:35:56Z
dc.date.available	2021-02-25T20:35:56Z
dc.date.issued	2020
dc.identifier.issn	0965-5425
dc.identifier.uri	https://dspace.kpfu.ru/xmlui/handle/net/161949
dc.description.abstract	© 2020, Pleiades Publishing, Ltd. Abstract: A complete theory of solvability of a linear integro-differential equation with a coefficient having power-law zeros is developed. For its approximate solution in the space of generalized functions, special generalized versions of the collocation method based on the use of standard polynomials and cubic splines of minimal defect are proposed and justified. Optimality in the order of accuracy of the method is established.
dc.relation.ispartofseries	Computational Mathematics and Mathematical Physics
dc.subject	approximate solution
dc.subject	direct method
dc.subject	integro-differential equation
dc.subject	theoretical justification
dc.title	On Numerical Solution of One Class of Integro-Differential Equations in a Special Case
dc.type	Article
dc.relation.ispartofseries-issue	10
dc.relation.ispartofseries-volume	60
dc.collection	Публикации сотрудников КФУ
dc.relation.startpage	1666
dc.source.id	SCOPUS09655425-2020-60-10-SID85096399415

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Публикации сотрудников КФУ Scopus [24551]
Коллекция содержит публикации сотрудников Казанского федерального (до 2010 года Казанского государственного) университета, проиндексированные в БД Scopus, начиная с 1970г.