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Title: | A fractional simulation of laser drilling process on graded mesh |
Authors: | Ayman. F. Hassan; Diaa Abidou; A. Elsaid; W. K. Zahra |
Year: | 2024 |
Keywords: | Fractional Derivatives; Laser Drilling; Simulation; PDE; nonuniform mesh; |
Journal: | AIP Conference Proceedings. |
Volume: | Vol. 3094. |
Issue: | No. 1. |
Pages: | Not Available |
Publisher: | AIP Publishing |
Local/International: | International |
Paper Link: | |
Full paper | Not Available |
Supplementary materials | Not Available |
Abstract: |
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. |