A New Iterative Predictor-Corrector Algorithm for Solving a System of Nuclear Magnetic Resonance Flow Equations of Fractional Order

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dc.authoridKhalid, Muhammad/0000-0002-5233-6505
dc.authoridZahran, Heba Yehia/0000-0002-0549-5044
dc.authoridMehmood, Uroosa Arshad/0000-0002-3115-0816
dc.authoridSultana, Mariam/0000-0003-3633-4603
dc.contributor.authorSultana, Mariam
dc.contributor.authorArshad, Uroosa
dc.contributor.authorKhalid, Muhammad
dc.contributor.authorAkgul, Ali
dc.contributor.authorAlbalawi, Wedad
dc.contributor.authorZahran, Heba Y.
dc.date.accessioned2024-12-24T19:33:35Z
dc.date.available2024-12-24T19:33:35Z
dc.date.issued2022
dc.departmentSiirt Üniversitesi
dc.description.abstractNuclear magnetic resonance flow equations, also known as the Bloch system, are said to be at the heart of both magnetic resonance imaging (MRI) and nuclear magnetic resonance (NMR) spectroscopy. The main aim of this research was to solve fractional nuclear magnetic resonance flow equations (FNMRFEs) through a numerical approach that is very easy to handle. We present a New Iterative Predictor-Corrector Algorithm (NIPCA) based on the New Iterative Algorithm and Predictor-Corrector Algorithm to solve nonlinear nuclear magnetic resonance flow equations of fractional order involving Caputo derivatives. Graphical representation of the solutions with detailed error analysis shows the higher accuracy of the new technique. This New Iterative Predictor-Corrector Algorithm requires less computational time than previously published numerical methods. The results achieved in this article indicate that the algorithm is fit to use for other chaotic systems of fractional differential equations.
dc.description.sponsorshipKing Khalid University, Ministry of Education; Princess Nourah bint Abdulrahman University, Riyadh, Saudi Arabia [PNURSP2022R157]
dc.description.sponsorshipThis work received funding from King Khalid University, Ministry of Education. Princess Nourah bint Abdulrahman University, Saudi Arabia. Princess Nourah bint Abdulrahman University Researchers Supporting Project number (PNURSP2022R157), Princess Nourah bint Abdulrahman University, Riyadh, Saudi Arabia.
dc.identifier.doi10.3390/fractalfract6020091
dc.identifier.issn2504-3110
dc.identifier.issue2
dc.identifier.scopus2-s2.0-85124239352
dc.identifier.scopusqualityQ1
dc.identifier.urihttps://doi.org/10.3390/fractalfract6020091
dc.identifier.urihttps://hdl.handle.net/20.500.12604/8211
dc.identifier.volume6
dc.identifier.wosWOS:000811851700001
dc.identifier.wosqualityQ1
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherMdpi
dc.relation.ispartofFractal and Fractional
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/openAccess
dc.snmzKA_20241222
dc.subjectfractional calculus
dc.subjectfractional nuclear magnetic resonance flow equations
dc.subjectmagnetic resonance imaging
dc.subjectNew Iterative Algorithm
dc.subjectnuclear magnetic resonance
dc.subjectPredictor-Corrector Algorithm
dc.titleA New Iterative Predictor-Corrector Algorithm for Solving a System of Nuclear Magnetic Resonance Flow Equations of Fractional Order
dc.typeArticle

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