Operational matrix approach for approximate solution of fractional model of Bloch equation

Harendra Singh

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Operational matrix approach for approximate solution of fractional model of Bloch equation

机译：Bloch方程分数模型近似解的运算矩阵法

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In present paper operational matrix of integration for Laguerre polynomial is used to solve fractional model of Bloch equation in nuclear magnetic resonance (NMR). The operational matrix converts the Bloch equation in a system of linear algebraic equations. Solving system we obtain the approximate solutions for fractional Bloch equation. Results are compared with existing methods and exact solution. Graphs are plotted for different fractional values of time derivatives.

机译：在本文中，使用Laguerre多项式的积分运算矩阵来求解核磁共振（NMR）中的Bloch方程的分数模型。运算矩阵在线性代数方程组中转换Bloch方程。求解系统中，我们获得了分数布洛赫方程的近似解。将结果与现有方法和精确解决方案进行比较。绘制了时间导数的不同分数的图形。

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《Journal of King Saud University》 |2017年第2期|共6页
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Harendra Singh;
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中图分类自然科学理论与方法论;
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7. Operational matrix approach for approximate solution of fractional model of Bloch equation [O] . Harendra Singh 2017

机译：Bloch方程分数模型近似解的运算矩阵方法

Operational matrix approach for approximate solution of fractional model of Bloch equation

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