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

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

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In 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 iphone xr price calgary 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 the gel bottle audrey 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.