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Procuring Analytical Solution of Nonlinear Nuclear Magnetic Resonance Model of Fraction Order |
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PP: 69-73 |
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doi:10.18576/sjm/040302
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Author(s) |
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M. Khalid,
Mariam Sultana,
Uroosa Arshad,
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Abstract |
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| Bloch system is mainly employed with attainment of the basic explanation of relaxation T1 and T2 and nuclear magnetic
resonance (NMR). This equation is said to be the heart of both magnetic resonance imaging (MRI) and NMR spectroscopy. The major
goal of this paper is to obtain an analytical solution of Fractional Nuclear Magnetic Resonance (NMR) flow equations. In this study,
the use of Laplace transform and the Pade approximation has been ascertained to handle the truncated series that were obtained through
the Perturbation Iteration Method for further advancement of the approximation. The fractional derivatives in this work are understood
to be in the Caputo sense. The results achieved through this paper will prove that the algorithm is fit to be used for more general kinds
of fractional differential equations. |
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