F-transform utility in the operational-matrix approach to the Volterra integral equation
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61988987%3A17610%2F24%3AA2502MI8" target="_blank" >RIV/61988987:17610/24:A2502MI8 - isvavai.cz</a>
Result on the web
<a href="https://www.sciencedirect.com/science/article/abs/pii/S0165011423004098?via%3Dihub" target="_blank" >https://www.sciencedirect.com/science/article/abs/pii/S0165011423004098?via%3Dihub</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1016/j.fss.2023.108764" target="_blank" >10.1016/j.fss.2023.108764</a>
Alternative languages
Result language
angličtina
Original language name
F-transform utility in the operational-matrix approach to the Volterra integral equation
Original language description
The proposed approach, based on the F-transform, consists in constructing an operational matrix for the Volterra integral equation as a Hadamard product of two matrices, one of which refers to the Volterra operator, and the other to its kernel. As a result, the F-transformed form of the entire equation reduces to a system of linear equations with a triangular matrix. This makes the corresponding numerical method for solving the Volterra integral equation efficient and low computational. We provide all the necessary proofs of the supporting statements, including the convergence of the method, and estimate its computational complexity. Finally, we illustrate the proposed algorithm with test cases and compare their results with some recently published methods.
Czech name
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Czech description
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Classification
Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
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OECD FORD branch
10101 - Pure mathematics
Result continuities
Project
<a href="/en/project/EF17_049%2F0008414" target="_blank" >EF17_049/0008414: Centre for the development of Artificial Intelligence Methods for the Automotive Industry of the region</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)<br>S - Specificky vyzkum na vysokych skolach
Others
Publication year
2024
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Fuzzy Sets and Systems
ISSN
0165-0114
e-ISSN
1872-6801
Volume of the periodical
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Issue of the periodical within the volume
15.1.2024
Country of publishing house
NL - THE KINGDOM OF THE NETHERLANDS
Number of pages
31
Pages from-to
1-31
UT code for WoS article
001110974300001
EID of the result in the Scopus database
2-s2.0-85175795100