This paper is about the implementation of the pseudo-spectral method based on the Lagrange polynomials to the numerical study of the multi-term time-fractional differential equations. Also, a semi-discrete approximation scheme used to the conversion of this equation to a system of ordinary fractional differential equations. To maintain the high accuracy of the spectral method, we applied the Mittag-Leffler function for time integration. A comparison of numerical results highlights the accuracy and efficiency of the provided scheme.

中文翻译：

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拉格朗日多项式拟谱方法对二项时间分数阶微分方程的数值研究

本文是关于基于拉格朗日多项式的伪谱方法在多项时间分数阶微分方程数值研究中的实现。同样，一种半离散近似方案用于将该方程式转换为普通分数阶微分方程组。为了保持光谱方法的高精度，我们将Mittag-Leffler函数应用于时间积分。数值结果的比较突出了所提供方案的准确性和效率。