Recently, wavelet theory has become a well recognized promising tool in science and engineering field; especially, wavelets are successfully used in fast algorithms for easy execution. In this paper, we developed wavelet lifting scheme using orthogonal and biorthogonal wavelets for the numerical solution of dynamic Reynolds equation for micropolar fluid lubrication. The numerical results gained through proposed scheme are compared with the exact solution to expose the accuracy with speed of convergence in lesser computational time as compared with the existing methods. The examples are given to demonstrate the applicability and attractiveness of proposed method.

中文翻译：

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微极流体润滑动态雷诺方程数值解的小波提升方案

近年来，小波理论已成为科学和工程领域公认的有前途的工具。特别是，小波成功地用于快速算法以便于执行。在本文中，我们开发了使用正交和双正交小波的小波提升方案，用于微极流体润滑的动态雷诺方程的数值解。将通过提出的方案获得的数值结果与精确解进行比较，以揭示与现有方法相比在更短的计算时间内具有收敛速度的准确性。给出的例子证明了所提出方法的适用性和吸引力。