A newly computational method based on the Coiflet wavelet and homotopy analysis method is developed, which inherits the great nonlinear treatment of the homotopy analysis technique and the local high-precision capability of the wavelet approach, to give solutions to the classic problem of channel flow with moving walls. The basic principle of this suggested technique and the specific solving process are presented in detail. Its validity and efficiency are then checked via rigid comparisons with other computational approaches. It is found that the homotopy-based convergence-control parameter and the wavelet-based resolution level of Coiflet are two effective ways to improve on accuracies of solutions.

中文翻译：

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Navier–Stokes方程控制的正交运动多孔壁引起的通道流动的Coiflet小波同态解

提出了一种基于Coiflet小波和同态分析方法的新的计算方法，该方法继承了同构分析技术的非线性处理方法和小波方法的局部高精度能力，从而给出了解决经典流问题的方法。移动的墙壁。详细介绍了此建议的技术的基本原理和特定的解决过程。然后通过与其他计算方法的严格比较来检查其有效性和效率。发现基于同伦的收敛控制参数和基于小波的Coiflet分辨率级别是提高解精度的两种有效方法。