Extending spectral methods to solve time fractional-order Bloch equations using generalized Laguerre polynomials
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61989100%3A27740%2F25%3A10256380" target="_blank" >RIV/61989100:27740/25:10256380 - isvavai.cz</a>
Result on the web
<a href="https://www.sciencedirect.com/science/article/pii/S2666818124004352?via%3Dihub" target="_blank" >https://www.sciencedirect.com/science/article/pii/S2666818124004352?via%3Dihub</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1016/j.padiff.2024.101049" target="_blank" >10.1016/j.padiff.2024.101049</a>
Alternative languages
Result language
angličtina
Original language name
Extending spectral methods to solve time fractional-order Bloch equations using generalized Laguerre polynomials
Original language description
Nuclear magnetic resonance (NMR) is a widely utilized physical phenomenon in the fields of chemistry, medicine, and engineering for the examination of complex materials. The fundamental basis of NMR lies in the Bloch equation, which establishes a connection between a macroscopic model of magnetization and the application of radiofrequency, gradient, and static magnetic fields. In cases where materials exhibit simple behavior, the classical first-order dynamics of precession and relaxation are described in the vector form of the Bloch equation. However, when dealing with more diverse experimental scenarios involving materials that are heterogeneous, porous, or composite, there is an opportunity to broaden the applicability of the Bloch equation through fractional-order derivative operators. In this study, we address the time fractional-order Bloch equations by extending the spectral methods approach to find a solution. Our proposed extension is based on the newly introduced generalized fractional-order integral operational matrix of Laguerre polynomials (LPs) in generalized Riemann-Liouville sense. Comparative analysis is also presented to highlight the efficiency of the method.
Czech name
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Czech description
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Classification
Type
J<sub>SC</sub> - Article in a specialist periodical, which is included in the SCOPUS database
CEP classification
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OECD FORD branch
10100 - Mathematics
Result continuities
Project
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Continuities
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Others
Publication year
2025
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Partial Differential Equations in Applied Mathematics
ISSN
2666-8181
e-ISSN
2666-8181
Volume of the periodical
13
Issue of the periodical within the volume
March
Country of publishing house
NL - THE KINGDOM OF THE NETHERLANDS
Number of pages
7
Pages from-to
nestránkováno
UT code for WoS article
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EID of the result in the Scopus database
2-s2.0-85213238518