Extending spectral methods to solve time fractional-order Bloch equations using generalized Laguerre polynomials

Kód výsledku v 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>

Výsledek na webu

<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>

Jazyk výsledku

angličtina

Název v původním jazyce

Extending spectral methods to solve time fractional-order Bloch equations using generalized Laguerre polynomials

Popis výsledku v původním jazyce

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.

Název v anglickém jazyce

Extending spectral methods to solve time fractional-order Bloch equations using generalized Laguerre polynomials

Popis výsledku anglicky

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.

Druh

J_SC - Článek v periodiku v databázi SCOPUS

CEP obor

—

OECD FORD obor

10100 - Mathematics

Projekt

—

Návaznosti

—

Rok uplatnění

2025

Kód důvěrnosti údajů

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Název periodika

Partial Differential Equations in Applied Mathematics

ISSN

2666-8181

e-ISSN

2666-8181

Svazek periodika

13

Číslo periodika v rámci svazku

March

Stát vydavatele periodika

NL - Nizozemsko

Počet stran výsledku

7

Strana od-do

nestránkováno

Kód UT WoS článku

—

EID výsledku v databázi Scopus

2-s2.0-85213238518