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A Fractional Model of Bloch Equation in Nuclear Magnetic Resonance and its Analytic Approximate Solution |
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| รหัสดีโอไอ | |
| Creator | Sunil KUMAR, Naeem FARAZ, Khosro SAYEVAND |
| Title | A Fractional Model of Bloch Equation in Nuclear Magnetic Resonance and its Analytic Approximate Solution |
| Publisher | Walailak University |
| Publication Year | 2557 |
| Journal Title | Walailak Journal of Science and Technology |
| Journal Vol. | 11 |
| Journal No. | 4 |
| Page no. | 273-285 |
| Keyword | Bloch equation, Caputo derivative, analytical solution, homotopy perturbation method |
| ISSN | 1686-3933 |
| 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. |
