Numerical Simulation for Fractional-Order Bloch Equation Arising in Nuclear Magnetic Resonance by Using the Jacobi Polynomials

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dc.contributor.authorSingh, Harendra
dc.contributor.authorSrivastava, H.M.
dc.date.accessioned2020-06-24T20:53:15Z
dc.date.available2020-06-24T20:53:15Z
dc.date.copyright2020en_US
dc.date.issued2020
dc.description.abstractn the present paper, we numerically simulate fractional-order model of the Bloch equation by using the Jacobi polynomials. It arises in chemistry, physics and nuclear magnetic resonance (NMR). It also arises in magnetic resonance imaging (MRI) and electron spin resonance (ESR). It is used for purity determination, provided that the molecular weight and structure of the compound is known. It can also be used for structural determination. By the study of NMR, chemists can determine the structure of many compounds. The obtained numerical results are compared and simulated with the known solutions. Accuracy of the proposed method is shown by providing tables for absolute errors and root mean square errors. Different orders of the time-fractional derivatives results are illustrated by using figures.en_US
dc.description.reviewstatusRevieweden_US
dc.description.scholarlevelFacultyen_US
dc.description.sponsorshipThis research received no external funding.en_US
dc.identifier.citationSingh, H. & Srivastava, H. M. (2020). Numerical simulation for fractional-order Bloch equation arising in nuclear magnetic resonance by using the Jacobi polynomials. Applied Sciences, 10(8). https://doi.org/10.3390/app10082850en_US
dc.identifier.urihttps://doi.org/10.3390/app10082850
dc.identifier.urihttp://hdl.handle.net/1828/11884
dc.language.isoenen_US
dc.publisherApplied Sciencesen_US
dc.subjectfractional-order Bloch equation
dc.subjectnuclear magnetic resonance (NMR)
dc.subjectmagnetic resonance imaging (MRI)
dc.subjectelectron spin resonance (ESR)
dc.subjectJacobi polynomials
dc.subject.departmentDepartment of Mathematics and Statistics
dc.titleNumerical Simulation for Fractional-Order Bloch Equation Arising in Nuclear Magnetic Resonance by Using the Jacobi Polynomialsen_US
dc.typeArticleen_US

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