Numerical solution of a new mathematical model for intravenous drug administration

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61988987%3A17610%2F24%3AA250387B" target="_blank" >RIV/61988987:17610/24:A250387B - isvavai.cz</a>
Alternative codes found
RIV/61988987:17610/23:A240252X
Result on the web
<a href="https://link.springer.com/10.1007/s12065-023-00840-4" target="_blank" >https://link.springer.com/10.1007/s12065-023-00840-4</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1007/s12065-023-00840-4" target="_blank" >10.1007/s12065-023-00840-4</a>

Result language
angličtina
Original language name
Numerical solution of a new mathematical model for intravenous drug administration
Original language description
We develop and analyze a new mathematical model for intravenous drug administration and the associated diffusion process. We use interval analysis to obtain a system of weakly singular Volterra integral equations over ordinary functions. We then use the operational method based on Chebyshev polynomials for obtaining an approximate solution of the numerical form. We show that for a certain class of fuzzy number valued functions, their generalized Hukuhara derivatives can be reduced to the derivatives of ordinary real-valued functions. By using our approach, we are able to estimate numerical solutions very accurately.
Czech name
—
Czech description
—

Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
—
OECD FORD branch
10102 - Applied 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
2024
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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