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


  • Sunil KUMAR Department of Mathematics, National Institute of Technology, Jamshedpur, Jhrkhand
  • Naeem FARAZ Modern Textile Institute, Donghua University, Yan’an Xilu Road, Shanghai
  • Khosro SAYEVAND Department of Mathematics, Faculty of Basic Sciences, Malayer University, Malayer


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


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.



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Author Biography

Sunil KUMAR, Department of Mathematics, National Institute of Technology, Jamshedpur, Jhrkhand

Department of Mathematics


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How to Cite

KUMAR, S., FARAZ, N., & SAYEVAND, K. (2013). A Fractional Model of Bloch Equation in Nuclear Magnetic Resonance and its Analytic Approximate Solution. Walailak Journal of Science and Technology (WJST), 11(4), 273–285. Retrieved from https://wjst.wu.ac.th/index.php/wjst/article/view/519