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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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Main Authors: | , , , |
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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. |
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ISSN: | 0094-243X 1551-7616 |
DOI: | 10.1063/5.0210153 |