A NUMERICAL TREATMENT OF BLOCK NUCLEAR MAGNETIC RESONANCE FLOW EQUATION

A NUMERICAL TREATMENT OF BLOCK NUCLEAR MAGNETIC RESONANCE FLOW EQUATION/h2>

P. R. Ardabili

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Abstract

The time-dependent Bloch nuclear magnetic resonance ow equation in one dimensional space is investigated numerically. To investigate some physiological and bi- ological properties of living tissues NMR plays pivotal role. In this paper, an applicable approach is used to solve the proposed equation with appropriate initial and bound- ary conditions. This method is a kind of regularization approaches based on the nite dierence and mollication methods. The numerical algorithm is well supported with stability and convergence results and the numerical results for two test problems conrm the ability of the numerical method.

Keywords

NMR, Block Equation, Mollication, Marching Approach.