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A fractional simulation of laser drilling process on graded mesh

In this paper, Riemann-Liouville fractional model with nonuniform time steps is presented to simulate the process of metal-laser drilling to overcome the initial singularity. In addition, two distinct operators conformable fractional derivatives, and Caputo-Fabrizio are applied. The spatial derivati...

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Bibliographic Details
Main Authors: Hassan, Ayman. F., Abidou, Diaa, Elsaid, A., Zahra, W. K.
Format: Conference Proceeding
Language:English
Subjects:
Online Access:Get full text
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Summary:In this paper, Riemann-Liouville fractional model with nonuniform time steps is presented to simulate the process of metal-laser drilling to overcome the initial singularity. In addition, two distinct operators conformable fractional derivatives, and Caputo-Fabrizio are applied. The spatial derivatives are approximated by the radial point interpolation method. The simulation results of Riemann-Liouville show significant improvement in the agreement with experimental data and the simulation results.
ISSN:0094-243X
1551-7616
DOI:10.1063/5.0210153