A NUMERICAL SOLUTION OF THE FRACTIONAL NAVIER-STOKES EQUATION USING THE CAPUTO-FABRIZIO ABOODH TRANSFORM METHOD WITH THE REDUCED DIFFERENTIAL POLYNOMIALS

A.A. Oyewumi, R. A. Oderinu, A.W. Ogunsola, M. Taiwo, A.A. Yahaya
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Abstract

A combination of the Aboodh transform method and the reduced differential polynomial technique was employed in this work to solve the Navier-Stokes equations with the Caputo-Fabrizio derivative. Two illustrations are presented to show the efficacy of the used method. The results gotten are showcased with the aid of tables and graphs. It is discovered that the results derived are close to the actual solution of the problems illustrated. This work will thus make it simple to study nonlinear process that arise in various aspect of innovations and researches.
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利用卡普托-法布里齐奥 Aboodh 变换法与还原微分多项式的分数纳维-斯托克斯方程数值解法
在这项工作中,结合使用了 Aboodh 变换法和还原微分多项式技术来求解带有卡普托-法布里齐奥导数的纳维-斯托克斯方程。通过两个插图展示了所使用方法的功效。借助表格和图表展示了所得到的结果。结果发现,所得出的结果与所说明问题的实际解法非常接近。因此,这项工作将使研究在创新和研究的各个方面出现的非线性过程变得简单。
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