In this paper, two numerical approaches including the homotopy perturbation transform method (HPTM) and the method based on the fractional complex transform and homotopy perturbation method (named as FCT-HPM) are presented for finding the approximated solutions of the time fractional Boussinesq–Burgers equations with He’s fractional derivative. The FCT-HPM and HPTM solutions are provided without any linearization or complicated computation. Numerical comparisons are shown to illustrate the efficiency of these two methods.

中文翻译：

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时间分数 BOUSSINESQ-Burgers 方程的数值方法

本文提出了两种求解时间分数Boussinesq-Burgers近似解的数值方法，包括同伦摄动变换法（HPTM）和基于分数复数变换和同伦摄动法的方法（称为FCT-HPM）。带有 He 分数阶导数的方程。FCT-HPM 和 HPTM 解决方案无需任何线性化或复杂计算即可提供。数值比较显示了这两种方法的效率。