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Assist. Ayman Fayez Elsayed Hassan :: Publications: |
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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. |
