# A Fractional Model of Bloch Equation in Nuclear Magnetic Resonance and its Analytic Approximate Solution

## Keywords:

Bloch equation, Caputo derivative, analytical solution, homotopy perturbation method## Abstract

The purpose of this paper is to employ an analytical approach to the time fractional Bloch Nuclear Magnetic Resonance (NMR) flow equations. A comparative study of the numerical solutions and the well-known analytical solutions are discussed. Absolute error has been calculated to show the accuracy of the applied method. The numerical solutions show that only a few iterations are needed to obtain accurate approximate solutions. The fractional derivatives are described in the Caputo sense. Numerical results are presented graphically.

doi:10.14456/WJST.2014.44

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*Walailak Journal of Science and Technology (WJST)*,

*11*(4), 273–285. Retrieved from https://wjst.wu.ac.th/index.php/wjst/article/view/519

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