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Difference schemes for the semilinear integral-differential equation of the hyperbolic type
Basaksehir, Istanbul, Turkey.
Bahcesehir University, Istanbul, Turkey. (MAM)ORCID iD: 0000-0001-6708-3160
2018 (English)In: Filomat, ISSN 0354-5180, Vol. 32, no 3, p. 1009-1018Article in journal (Refereed) Published
Abstract [en]

In this paper, the initial-value problem for integral-differential equation of the hyperbolic type in a Hilbert space H is considered. The unique solvability of this problem is established. The first order and the second order of accuracy difference schemes approximately solving this problem are presented. The convergence estimates for the solutions of these difference schemes are obtained. Theoretical results are supported by numerical example.

Place, publisher, year, edition, pages
2018. Vol. 32, no 3, p. 1009-1018
Keywords [en]
General Mathematics
National Category
Mathematical Analysis Computational Mathematics
Research subject
Mathematics/Applied Mathematics
Identifiers
URN: urn:nbn:se:mdh:diva-56219DOI: 10.2298/fil1803009dISI: 000439421100031Scopus ID: 2-s2.0-85047967040OAI: oai:DiVA.org:mdh-56219DiVA, id: diva2:1603318
Available from: 2021-10-15 Created: 2021-10-15 Last updated: 2021-11-05Bibliographically approved

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Ashyraliyev, Maksat

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