Efficient Numerical Solution to a Bivariate Nonlinear Fuzzy Fredholm Integral Equation

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61988987%3A17610%2F21%3AA2201ZWR" target="_blank" >RIV/61988987:17610/21:A2201ZWR - isvavai.cz</a>
Result on the web
<a href="https://ieeexplore.ieee.org/document/8918434" target="_blank" >https://ieeexplore.ieee.org/document/8918434</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1109/TFUZZ.2019.2957100" target="_blank" >10.1109/TFUZZ.2019.2957100</a>

Result language
angličtina
Original language name
Efficient Numerical Solution to a Bivariate Nonlinear Fuzzy Fredholm Integral Equation
Original language description
In the present study, a new iterative numerical method for solving bivariate nonlinear fuzzy Fredholm integral equations is proposed. The method combines two well proven approaches: successive approximations and mixed trapezoidal and midpoint rules for the numerical integration. Both approaches are elaborated for fuzzy-valued functions. We give conditions for the existence and uniqueness of a solution and estimate the error of the obtained approximation. We prove stability and show some illustrative examples that confirm our theoretical results.
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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