Classical approximation for fuzzy Fredholm integral equation

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61988987%3A17610%2F21%3AA2201ZWT" target="_blank" >RIV/61988987:17610/21:A2201ZWT - isvavai.cz</a>
Result on the web
<a href="https://www.sciencedirect.com/science/article/pii/S0165011419300168" target="_blank" >https://www.sciencedirect.com/science/article/pii/S0165011419300168</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1016/j.fss.2020.03.023" target="_blank" >10.1016/j.fss.2020.03.023</a>

Result language
angličtina
Original language name
Classical approximation for fuzzy Fredholm integral equation
Original language description
We propose to use Chebyshev polynomials to find numerical solutions to fuzzy Fredholm integral equations of the second kind. The method uses the Clenshaw-Curtis representation and transforms a fuzzy Fredholm integral equation to the system of algebraic equations. A solution to this algebraic system gives the approximate (functional) solution to the original problem. We discuss the existence and uniqueness of a solution. The proposed method is illustrated by numerical examples, which confirms the theoretical convergence estimate.
Czech name
—
Czech description
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Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
—
OECD FORD branch
10101 - Pure mathematics

Project
<a href="/en/project/GA18-06915S" target="_blank" >GA18-06915S: New approaches to aggregation operators in analysis and processing of data</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year
2021
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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